As much as it comes down to bullet design, it is hard to beat the concept of put the bullet where it needs to go and the job will be done. AMAX, VMAX, SMK, TSX, etc, will all kill critters when the bullet hits it's mark. Likewise, each of them can critically wound an animal that could take days to expire if shot placement is not true.
Are there bullets designed to be used specifically for hunting purposes? Yes. If a match bullet shoots better from your rifle than a hunting bullet, should you still go with the hunting bullet? In my opinion, no.
Shoot the bullet the rifle likes, put the bullet where it belongs, and eat! I have used AMAXs before and they performed just as needed. A 162gr AMAX flying in the 3000-3100 FPS range from a 7mm Remington Magnum will do the trick for any whitetail, and dare I say it, other large antlered creatures roaming our beautiful wilds!
Additionally, the AMAXs are a dream out of varmint rifles. Just sayin'!