I don't know about air pistols, but this ISN'T the case for powder fired weapons as suggested above.
If you've seen any shooting in very slow motion, the barrel movement is neglidgeable to none, before the bullet leaves the barrel.
First a puff of air, then the bullet, then a little rise, then the slide (semi-auto) hits the frame stop, that's when the majority of the recoil rise takes place. The recoil starts well after the bullet is out of the barrel, and the main rise in hand position is when the slide hits the stop in the frame.
The recoil movement is probably much quicker on revolvers since there is no moving parts to soak up / slow down any recoil.
I'll try my P1 and see what I feel / see target wise. Should be interesting to see per the above info.
Mike