I both hunt (mostly deer, ducks, geese) and target shoot when the hunting seasons are closed.
While hunting, depending on the game, I just grab the 30-06 which isn't a sub-moa rifle, and just go shoot the dog-gone thing and dress it and bring it home. Or, grab either the Nova or the old Win Ranger, and go shoot the ducks/geese and bring them home.
But, when seasons are closed, and I'm going back and forth to the range with bolt guns, I only use accurate rifles which will go sub-moa or moa when I'm fiddling with loads and groups....because it's a different reason than hunting.
So, I really see hunting/target-shooting two different things with two different answers as to "only keeping sub-moa rifles".