Greetings,
That is a tough question to answer... Bolts, or single shots can be wonderfully acurate, or just plain fussy. Hunting groups, and one hole target groups are two different levels of shooting. No matter what action a person uses, the heavy barrel usually shoots better than a slender hunting barrel. Note the varmint rigs usually carry the one inch barrel.
Many a deer has been brought down with a lever action, or single shot rifle that is not capable of more than a three inch group at 100 yards. However, small varmints at long distance require much better groups, and a high dollar scope to see the target.
I do like my bolt action, but I am also fond of my number one, and both have a place in my gun safe...
Mike 8)