The other thing to always take into account is actual hunting range. I personally limit myself to 300 Meters. Within that distance I’m confident of where my shot will hit. Now, my hunting rifle will easily shoot MOA, and it will do it out to 1000. And yes, I’ve taken it out that far, off a bench. I know my dope. But I still won’t shoot anything over 300.
After 300 with a field support, or unsupported I can’t guarantee a kill shot - a hit yes, but not necessarily a kill. Yep, I see the guys taking shots at deer across a quarter section. And then, if they hit, spending hours tracking wounded game. Not fair to the animal, and something I’m not comfortable with.
As to the original question about hunting rifle accuracy. Again, I come down on the side of wanting an accurate rifle. If it’s not under 2 MOA I wouldn’t use it. At 300, that’s a 6” error factor, before you even take the shooter into account. If possible I like to work my hunting rifle in to close to MOA. Yes, it gives me more confidence in my shots, but it also means that compounding all the possible error factors in the field that my probability of a “kill shot” remains high.