I have realized, as I got older and more experienced at hunting, that Minute of Angle accuracy doesn't amount to anything for the type of hunting I do. If one were to be hunting Dall Sheep at 500 yards (a shot I wouldn't feel comfortable taking anyway) I would think it is more important. What I am more concerned about is getting the velocity I want and a group that is acceptable. I want to make sure that my bullets will expand anywhere inside 300 yards so that I have a lot of leeway when hunting.
For my .416 I settled on 2,300 fps with a 400 grain bullet and 2,500fps with a 350. Thats what I was conerned about. The rifle shoots them all within about an inch and a half. I will usually put about 8 .416 rounds down range off a bench at any one time. .375 H&H I could shoot all day it seems. I will settle for a round that prints 1.5" at 100 yards as that is wayyy more accurate than I would probably shoot off sticks or any field position. Add to that the fact that most of my shots are less than 100 yards with a majority being stalked to within 50-75 yards, and you realize that straining for every last MOA isn't worth it. There's theory and then there are the practical realities of hunting. The only rifle I strain to get a good load for is my varmint rifle. It's a .223 and even at that I am happy with a 1" group at 100 yards. I think stalking close is 1000% more fun that just shooting from longer range. So I spend my time shooting from any available position and not sitting at a bench working on my target technique or worrying if another 50fps would have tightened my group.
When speaking of dangerous game rifles.... As I believe Peter Capstick put it: "Dangerous game is only dangerous when you are close.. any fool can pop a jumbo from across two football fields." Dangerous game rifles need to be able to balance and point quickly, shoot heavy, well made, larger bore bullets at their prescribed velocity, and be accurate enough to hit a buffalo or lions shoulder at 40-100 yards. You can shoot a lion from 500 yards and kill him dead... but don't go telling people you are a dangerous game hunter. I would say for a heavy large bore rifle, >.40 caliber, It just needs to be accurate enough to hit the kill zone from a relatively close range, but it needs to hit it hard and have the bullet stay together and penetrate. 0.5 MOA is not high on a Dangerous Game Rifle's list of things it needs to accomplish.
I am sure there are people who strain to get their .458 to print all it's shots on top of each other. All I can say is, its their shoulder, they can do what they wish with it. At the end of the day, if they get a shot at an animal within 150 yards and miss, they would be able to even blame a 2-3 MOA rifle or load for it. It was their fault.