I don't know guys - having either a lever or bolt action rifle consistently capable of shooting half inch groups at 100 yards, I wouldn't think is all that common and then to have the shooter consistently capable of shooting 1/4 to 1/2 inch groups at 100 yards is another big variable along with either match grade commercial ammo or reloads.
Using the lever action off a good rest, I use to get 2 to 5 inch groups at 100 yards with the vast majority of those groups being between 3 and 4 inches and that was with a 9X scope. Open sights the groups rarely were under 3" and most groups were 4 to 6 inches with one or two rounds not wanting to play with the others. Now out of the box 308 bolt action usually will shoot better than a lever action but again - less than 1 MOA is asking a lot from both the rifle and shooter.
I do have a nice bolt action 308 that is well bedded in a synthetic stock, a 24" match grade Krieger barrel, Tubb's firing pin, has a 1.5 oz jewell trigger with a 30X scope - off a good rest with my reloads and calm conditions I can consistently hold 5 rounds between 0.300" and 0.400". On occasion I can shoot under 0.200"s but those groups are rare, so I do know how to handle a well set-up rifle from several decades of competition rifle/pistol shooting. Now that doesn't mean I can't miss an easy shot on a big target, because I can and I have!!!
For a mountain rig where shooting will be around that 100 yard range - I would consider weight as the major factor, as IMO, either action type will be accurate enough at that range.