Would quick draw and combat reflexes allow you to make attacks of opportunity with sheathed weapons?

Question

If you have quick draw and combat reflexes, could you threaten squares around you with sheathed weapons?

Quick draw allows you to pull out a weapon as a free action. Combat reflexes allows you to make AOO's when flatfooted during a surprise round. Is it unreasonable to think that together they would allow you to look innocent but catch them off guard with your weapon?

Answer 1

By the rules, no

Free actions are still actions, and as such, can only be taken during your turn unless specifically stated (such as with speaking).

I personally think that it's a reasonable houserule to allow it, however. I cannot see it breaking any mechanics in the 1pp Pathfinder game.