It amazes me that cup and core bullets that have worked well for a hundred years and killed far more game than any premium bullet are now considered inadequate. I think the OP said deer, black bear and hogs. You'll only need a 165gr bullet but I prefer the 180gr in a 30-06. Either will do what you want.

Remington core-Locks have killed more game than probably any other bullet. The Winchester Silver Tips have also been around a long, long time. Doesn't seem to me they ever gained the popularity of the Core-Locks but that does not make the Core-Lock better or the Silver tip worse.

I believe that for the majority of people that don't hand load, cup and core bullets are far better. I say that only because you can shoot quite a bit more practice rounds for a lot less money. On most animals if you properly place a good bullet, the animal will die! That is assuming you have chosen a proper bullet for the cartridge you are using. It would be silly to claim that they will maintain more weight, which by the way helps penetration. But all I have ever used is cup and core bullets for hunting, I don't recall ever recovering one! A shoot thru is about as good as it gets if the bullet is placed well.