When fabricating class weapons, is the chance to receive all weapons equal

The individual class configs only need to be used if you have a bind conflict, as it won't matter what your binds for the Spy are while playing Scout, as long as they don't impede your other controls.

Generally, it's just laziness and not wanting to avoid all the binds in the other class configs.

Info From Wiki.

Hope this helps

             Melee Weapons  
Name                              Damage    
                         Point Blank    Critical  

Bat                      24-46,          105  
Sandman                  24-46,          105  
(Baseball)               15,              45  
Shovel                   43-87,          195  
Equalizer                   See Note Below   
Fire axe                 43-87,          195  
Axtinguisher             23-43,          195  
Homewrecker              42-55,          146  
Bottle                   43-87,          195  
Pain train               59-72,          195  
Eyelander                43-87,          195  
Scotsman's skullcutter   78,             234  
Fists                    43-87,          195  
K.G.B.                   43-87,          195   
Wrench                   43-87,          195  
Bonesaw                  43-87,          195  
Übersaw                  43-87,          195  
Kukri                    43-87,          195  
Tribalman's shiv         38-47,          127  
Knife                    28-54,          120  

Note on Equalizer: The damage done scales inversely with health. Approximately 113.7 − 0.405x, where x is the amount of health the player currently has, with a minimum of 33 when the player is at or above 200 health, and a maximum of 113 (before random damage and Critical hits). It should also be noted the Equalizer is the weakest melee weapon when Soldier has max health, and the strongest next to Spy's Backstab when Soldier is low.

For the Range of the weapons, I couldn't find weapon-specific range, the same Wiki states:

The Eyelander's melee range is approximately 37% more than the Bottle and other melee weapons. The same is true for the Scotsman's skullcutter.