Out west, deer (and certainly elk) are normally cut up on the spot, so this question is kind of a moot point for me. Deer killed somewhat close to a road which are to be brought out whole are gutted at the kill site. Exceptions may be if a road is close by, then it is only to keep the body cavity clean. No need to drag unnecessary weight or keep the heat in longer than needed.
I have seen zero indication of a gut pile scaring off deer. I've actually seen them eating whatever was undigested, out of the pile.
Honestly, I have never seen this kind of debate come up in my circle of friends. This is just how it's done out here I guess.
