The TWF fighter does less damage than a two-handed fighter on a single attack action (about 35% less), but virtually ties with a full attack action. Letting the TWF fighter always get his full attack damage significantly unbalances the equation in the other direction.
The thing is, whichever configuration you take, you can work on infinitely twinking it out. Two-weapon fighting is better when you want many more attacks. Being a rogue with sneak attack is the number one example of this. Or if you bleed per attack (like with Bloody Assault). Or use poison. Or use the various critical effects from the critical feats. Or want to use some of those attacks for trip/disarm/sunder attacks. There's a bunch of ways to increase your TWF damage by stacking "per hit" things on top.
Two-handed is better when something has DR or you're only getting one attack action in. Per-attack damage plusses and minuses and additional conditions affect a two-weapon fighter much more than a two-handed fighter - a "bard bonus" is multiplied in value by number of attacks. And as you note, you have to get a full attack to get those other attacks... But that's the same thing with a L11 two-handed fighter, they lose out on a lot of attacks when they can't stick and hit.
A straight fighter will do more dps in an abstract sense with a two-handed weapon than two-weapon fighting, if all he does is straightforward hitting without any other interesting feats. But if you change the TWF rules, your player is just going to turn around and layer the other TWF twinks on top and suddenly it's the more powerful thing, and you have to start worrying about your two-hander player... Because he who inflicts the most damage wins the game, apparently.
Also, there's a difference between optimization and real play. Real adventurers find gear, they don't "have 32000 to spend on it." I've played and GMed a lot of Pathfinder, and players have run and enjoyed two-weapon characters as much as two-hander characters. (Sword and board, however, sucks.)
Since the peanut gallery demands "math," here's some reasonably maxed out L11 characters, using all the Paizoey goodness. Each has more special abilites than one can reasonably enumerate, but I tried to stick to "jack up the numbers" options as much as possible. Full builds are below, but the relevant stuff here is that:
- 2HGuy, attack action: +23 (4d6+29/19-20 plus 1d6 fire plus 1d6 cold) 19-20 x2 - power attack, overhand chop is giving double STR to damage, vital strike, furious focus
- 2HGuy full attack: +23/+15/+10 (2d6+25/19-20 plus 1d6 fire plus 1d6 cold, 2d6+29 for attacks 2 and 3 from backswing) 19-20 x2
- 2WFGuy, attack action: +15 (1d6+15/17-20 plus 1d6 fire)/+15 (1d6+12/17-20 plus 1d6 cold) 17-20 x2 - two attacks from Doublestrike, piranha strike is like Power Attack for Dex, if he hits with both then 1d10+1 rend, if he crits +2d6 bleed, agile weapon enhancement gives +dex to damage
- 2WFGuy, full attack: +17/+12/+7 (1d6+17/17-20 plus 1d6 fire)/+17/+12/+7 (1d6+14/17-20 plus 1d6 cold) 17-20 x2, if he hits with both then 1d10+(1.5x Strength modifier) rend, if he crits +2d6 bleed, agile weapon enhancement gives +dex to damage, +2/+2 during full attack from twin blades, and also +4 AC bonus from two-weapon defense and defensive flurry)
Versus let's say AC 25, the average DPS (including crits and rend) for each is:
- 2HGuy, attack action: 55.67 (plus maybe shaken)
- 2HGuy, full attack: 87.06 (plus almost guaranteed shaken)
- 2WFGuy, attack action: 35.55 (plus two points of bleed)
- 2WFGuy, full attack: 81.80 (plus 5 points of bleed ongoing)
So yes obviously, in high mobility situations the 2WF guy loses out (though he does get two attacks, not one, from his archetype), but he's pretty much neck and neck in a full attack situation, any slight change to any of these numbers makes the winner of the full attack follies go back and forth. Both these characters have loads of other fun stuff to do, they have more feats than they know what to do with. The TWF guys is obviously much tighter on feats and stuff. Keep in mind this is a straight fighter compare, and there's other ways to fill out TWF and all those rogues with sneak attack can stack a lot of damage on... Go look at some build guides and there's plenty of L11 twf builds out there that do a lot more than this.
Does the TWF guy lose? Yes. But the question is, "is the answer to let him have his 81-point full attack with a standard action?" The answer to that is no, it unbalances it back the other way.
Full builds
Because everyone has stat boost items I usually don't add them, but in this case I decided to make up the wealth differential caused by the weapons with a +4 belt of strength.
2HGuy
Human (Kellid) Fighter (Two-Handed Fighter) 11 (Pathfinder RPG Advanced Player's Guide 0)
N Medium humanoid (human)
Init +1; Senses Perception -1
Defense
AC 11, touch 11, flat-footed 10 (+1 Dex)
hp 114 (11d10+44)
Fort +10, Ref +4, Will +2
Offense
Speed 30 ft.
Melee +2 cruel flaming frost greatsword +20/+15/+10 (2d6+25/19-20 plus 1d6 fire plus 1d6 cold)
Special Attacks backswing, overhand chop, piledriver, shattering strike, weapon trainings (heavy blades +2, pole arms +1)
Statistics
Str 24, Dex 13, Con 16, Int 9, Wis 9, Cha 9
Base Atk +11; CMB +15 (+19 bull rush, +18 sunder); CMD 29 (31 vs. bull rush, 32 vs. sunder)
Feats Bull Rush StrikeAPG, Cornugon Smash, Dazing AssaultAPG, Dreadful CarnageAPG, Furious FocusAPG, Greater Bull Rush, Horn of the Criosphinx, Improved Bull Rush, Power Attack, Pushing AssaultAPG, Vital Strike, Weapon Focus (greatsword), Weapon Specialization (greatsword)
Skills Acrobatics +12, Intimidate +13
Languages Common, Hallit
Other Gear +2 cruel flaming frost greatsword, belt of giant strength +4, 150 gp
Special Abilities
Backswing (Ex) Attacks after the first in a full attack receive 2x STR bonus.
Bull Rush Strike Critical hit's confirmation roll is a Bull Rush maneuver check.
Cornugon Smash When you damage an opponent with a Power Attack, you may make an immediate Intimidate check as a free action to attempt to demoralize your opponent.
Dazing Assault (DC 21) -5 to all attacks and maneuvers but struck foes are dazed 1 rd (Fort neg).
Dreadful Carnage If you reduce an enemy to 0 or fewer HP, you can make an intimidate check to demoralize all enemies within 30' as a free action.
Furious Focus If you are wielding a weapon in two hands, ignore the penalty for your first attack of each turn.
Greater Bull Rush When bull rushing, foe's movement provokes AoO from your allies.
Horn of the Criosphinx Add 2x your Str bonus to damage rolls on charges while wielding a two handed weapon.
Improved Bull Rush You don't provoke attacks of opportunity when bull rushing.
Overhand Chop (Ex) Single attacks with two-handed weapons receive double STR bonus.
Piledriver (Ex) Standard action: attack with a two handed weapon, if successful, free bull rush or trip w/o AoO.
Power Attack -3/+6 You can subtract from your attack roll to add to your damage.
Pushing Assault If you are wielding a weapon in two hands, push the target 5' back instead of dealing power attack damage.
Shattering Strike +3 (Ex) +3 Sunder and damage vs. objects.
Vital Strike Standard action: x2 weapon damage dice.
Weapon Training (Blades, Heavy) +2 (Ex) +2 Attack, Damage, CMB, CMD with Heavy Blades
Weapon Training (Pole Arms) +1 (Ex) +1 Attack, Damage, CMB, CMD with Pole Arms
2WFGuy
Human (Kellid) Fighter (Two-Weapon Fighter) 11 (Pathfinder RPG Advanced Player's Guide 0)
N Medium humanoid (human)
Init +5; Senses Perception -1
Defense
AC 16, touch 15, flat-footed 11 (+1 shield, +5 Dex)
hp 114 (11d10+44)
Fort +10, Ref +8, Will +2 (+3 vs. fear)
Defensive Abilities bravery +3, defensive flurry
Offense
Speed 30 ft.
Melee +2 agile flaming cold iron shortsword +15/+10/+5 (1d6+15/17-20 plus 1d6 fire) and
+2 agile frost mithral shortsword +15/+10/+5 (1d6+12/17-20 plus 1d6 cold)
Special Attacks doublestrike, improved balance, twin blades
Statistics
Str 13, Dex 20, Con 16, Int 9, Wis 9, Cha 9
Base Atk +11; CMB +9; CMD 27
Feats Bleeding Critical, Critical Focus, Double Slice, Greater Two-Weapon Fighting, Improved Critical (shortsword), Improved Two-Weapon Fighting, Piranha Strike, Two-Weapon Defense, Two-Weapon Fighting, Two-Weapon Rend, Weapon Finesse, Weapon Focus (shortsword), Weapon Specialization (shortsword)
Skills Acrobatics +16, Intimidate +13
Languages Common, Hallit
Other Gear +2 agile flaming cold iron shortsword, +2 agile frost mithral shortsword, 150 gp
Special Abilities
Bleeding Critical Critical Hits deal 2d6 bleed damage.
Bravery +3 (Ex) +3 to Will save vs. Fear
Critical Focus +4 to confirm critical hits.
Defensive Flurry +3 (Ex) +3 AC vs. melee when making a full-attack with both weapons.
Doublestrike (Ex) Standard action: Attack once with each weapon (normal two-weapon penalties).
Improved Balance -1 (Ex) Reduce the penalties for two-weapon fighting or count off-handed one-handed weapon as light.
Piranha Strike -3/+6 You can subtract from your attack roll to add to your damage with light weapons.
Twin Blades +2 (Ex) +2 to hit and damage when making a full attack with both weapons.
Two-Weapon Defense +1 to AC while wielding 2 weapons. +2 when doing so defensively.
Two-Weapon Rend Deal extra 1d10+(1.5x strength modifier) if you hit a foe with both main and off hand weapons.
You don't need the feats. The hands don't matter.
Pathfinder only draws a primary hand / offhand distinction when fighting with two weapons in the same round. (Whether you can change which hand is your offhand each round or if one hand is always primary and the other always your offhand, the rules are silent about; but that won't matter in your case.) When you're attacking with only one weapon in a given round, there is no offhand or offhand penalty.
Unless your GM changes that, of course. I wouldn't, personally - you're already sacrificing the ability to use shields and two-handed weapons (and presumably a feat or special feature to get whip proficiency) for just a little versatility, AND they've already house-ruled an additional penalty on top of your "can't hit 50% of the Bestiary because armor" whip (it's not a reach weapon, it's a ranged weapon!), but they could.
Best Answer
This is correct.
"If you wield a second weapon in your off hand, you can get one extra attack per round with that weapon. You suffer a –6 penalty with your regular attack or attacks with your primary hand and a –10 penalty to the attack with your off hand when you fight this way. You can reduce these penalties in two ways. First, if your off-hand weapon is light, the penalties are reduced by 2 each. An unarmed strike is always considered light. Second, the Two-Weapon Fighting feat lessens the primary hand penalty by 2, and the off-hand penalty by 6." PFSRD
If simply holding a weapon in an off-hand were to trigger the Two-Weapon Fighting rules, then many characters who wield shields, carry torches, or hold a pole would be subject to those penalties without utilizing the weapon to attack.
No.
"If you wield a second weapon in your off hand, you can get one extra attack per round with that weapon. You suffer a –6 penalty with your regular attack or attacks with your primary hand and a –10 penalty to the attack with your off hand when you fight this way. You can reduce these penalties in two ways. First, if your off-hand weapon is light, the penalties are reduced by 2 each. An unarmed strike is always considered light. Second, the Two-Weapon Fighting feat lessens the primary hand penalty by 2, and the off-hand penalty by 6."
Taking an Attack of Opportunity is not an extra attack in the round - it is an attack generated by the opponents movements or actions.
Provided your whip using character has the feat Improved Whip Mastery, (which I do assume, given your statement: "I'm going with whip mastery and improved/Greater Trip and everything else involved, plus the usual bard stuff") then yes, you are able to threaten an area with your whip.
"You threaten all squares into which you can make a melee attack, even when it is not your turn." PFSRD
Even when you choose to not take an Attack of Opportunity, the square is still threatened.
Further, even if you did attack with both of your weapons in a Full Attack action, you would not suffer the Two-Weapon Fighting penalties on Attacks of Opportunity, per the PFFAQ.
"Two-Weapon Fighting: If you use this on your turn to attack with two weapons, do you also take that penalty on attacks of opportunity made before the start of your next turn?
No. The penalties end as soon as you have completed the full-attack action that allowed you to attack with both weapons. Any attacks of opportunity you make are at your normal attack bonus."