I think we could divide the question into several, if not more parts.
Some guns are accurate, some are "shootable" (just made that up) some are both, some are neither.
I have an old Savage 110 in .30-06 that is at best, an 1.5" gun at 100 yards. However, it has no vices as to how it is held or rested, I can get it on target fast with the tang safety and good scope, has a great trigger, and the stock fits me comfortably prone, sitting, or offhand. I can only 1.5" groups, but I get them on demand in the field. This rifle is very "shootable".
My custom rifle is about .75" with most any ammunition, and I am ashamed to say I never tried to do better, because I never knew anything that I could do with that extra accuracy. Timney trigger, custom stock fitted to me, and best scope I could afford, this one is accurate and shootable.
I had an M77V that would consistently beat my Custom (as long as the wind wasn't blowing), but one had to work to get it in place and held steady. It was finicky about what it was fed, but when every requirement was met, it would shoot off the bench fantastic. Accurate, but not what I would call a "shootable" gun.
If it shoots under 2" and you can handle it easily in field shooting conditions, then no one will be able to tell a deer shot by a 2 M.O.A. gun and a .5 M.O.A. gun.