Does the Quick Stow feat allow a Counterfeit Mage rogue to sheathe a wand as a free action

action-economyclass-featurefeatsoptimizationpathfinder-1e

I am looking at playing a Counterfeit Mage Rogue, and one of their abilities is Signature Wand (Ex) – emphasis mine:

At 4th level, a counterfeit mage can spend 1 hour practicing with a
wand to designate it as his signature wand. He can draw that wand
as a free action
, and can activate it without having to succeed at
a Use Magic Device check. He can change his signature wand once per
day.

Now, I want to be able to put the item away without using my move action, and I found the Feat Quick Stow (emphasis mine):

Prerequisite(s): Quick Draw, base attack bonus +1.

Benefit(s): You do not provoke an attack of opportunity when sheathing
a weapon, and you can combine a move action to sheathe a weapon with a
regular move action. (You can both stow and draw a weapon as part of
the same move action in this way.) If you have the Two-Weapon Fighting
feat, you can sheathe two light or one-handed weapons in the time it
would normally take to sheathe one.

You can also quickly stow items in a backpack or other container that
you are wearing or carrying. When you successfully use an action to
pick up an item
(including when you steal an item with a successful
Sleight of Hand check or steal combat maneuver check), you can stow
the item as part of the same action used to acquire it
. You can try to
hide this object by attempting a Sleight of Hand check with a –20
penalty, opposed by the Perception check results of all opponents.

Does this wording mean that the action I use to pick up the wand (a free action thanks to Signature Wand) is also the action I use to put it away? (Meaning I use a free action to pick it up and put it away, leaving me only having to use a standard action to activate the wand?)

Best Answer

As stated in Quick Stow:

You do not provoke an attack of opportunity when sheathing a weapon, and you can combine a move action to sheathe a weapon with a regular move action. (You can both stow and draw a weapon as part of the same move action in this way.) If you have the Two-Weapon Fighting feat, you can sheathe two light or one-handed weapons in the time it would normally take to sheathe one.

So the assertion that the wand must be picked up is false. While it seems the intent is that the player stow one weapon and draw another, this is not explicitly stated, nor does it state the order in which those actions must be performed. Therefore, your answer is yes, you can draw and stow said wand as part of the same free action but, as stated before, you would be unable to use it in between.

It would be pointless but you could do it.