Well ive never heard it said by anybody, that the reason for them installing a brake was for anything other than recoil reduction, and the added benefits it offers for seeing hits.
Ive not personally noticed any change in a deers reaction to a shot, based on the gun having, or not having a brake.
Other animals react differently than a whitetail deer does for sure.
A bear for example, will as a rule, only offer one shot before it's on the run, and don't count on it stopping while it's still in sight.
If your in a group, let it be known that Mr Nice Guy only last for one shot, after that it's fair game.
But then again, next lifetime you just might see another. lol
An Antelope will as a rule be on the run also following a shot.
Elk, are actually dumber than a deer from the standpoint of being shot at.
But, whenever your hunting, best don't count on anything.