In my own 50 oe so years of shooting & hunting experience, I've found that the three action types mentioned in the OP, plus two more (lever and break-open singleshot), will all be plenty accurate enough for most hunting IF the shooter can do their part.
A good scope, of course, will help many shooters "do their part" - but that's not an absolute.
For serious target shooting, i.e. formal competition, in "box stock" or "out-of-the-box" condition, after an initial cleaning, etc, most single-shot or detachable magazine bolt action target rifles and most Marlin 39a's will do just fine.
The RF semi-autos "can" be just as accurate - but not out-of-the-box. They all will need "something", to brig them up to snuff.
One of the biggest variables, though, is ammunition - every rifle seems to like one particular taste better than others - which is why an accurate rifle shooting ammo less than it's favorite can be outshot by a rifle of lesser accuracy that's shooting ammo it prefers.
Of course, "stuff" changes, if two shooters temporarily swap rifles.
Jes' sayin'............................................
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