No motion, no "energy transfer". A Deer is not accelerated with a bullet impact
Not the entire animal. I'm sure one might see another side of things if they were to view a high speed photo capture of the impact though. And for sure if one could see the slow-mo view of the internals.
Admittedly, I hardly buy into the concept as being a useful means for killing big game. Cutting, shredding, and breaking seem so much more useful; I won't waste any time worrying about how energy is "used" in such processes.
