drt213,
There are two issues to consider in NIB Ruger #1 accuracy -- grouping and consistent POI.
A tight group is just the beginning. Many -- indeed most #1s will shoot decent groups out of the box. Some however will not shoot tight enough groups and in those cases buggered wood/barrel contact -- even in NIB items -- is often the problem. I have had out of the factory #1s with foreends that touch on one side of the barrel but not the other and they gave squirrely "patterns" until some careful sanding of the high side. Some did not flourish until freefloated.
Please note that the guys above having excellent experiences with their #1s mostly live in hot dry clmates. They do not need to cope with the wide swings in humidity we have here. Those changes swell and shrink wood stocks that are not properly sealed and Ruger does not do that at the factory. Such wood changes due to climate shifts are not much of an issue in hot dry areas so holding POI over time is rarely a problem and gets little or no mention.
In my expereinces here in VA, my #1 results vary in that even small shifts in wood/metal contacts will move POI around from week to week and day to day. Sometimes they even wreck the grouping all together. Punching paper is not the problem -- just adjust the scope to move the group back where you want it. But hunting at distance can get problematic as you cannot rezero your rifle every day. I find that sealing the inside of the rifle wood with polyurothane varnish on rifles with POI shift problems does a good job of minimizing or even eliminating the problem.
Buy a NIB #1 and you probably will be able to get satisfactory accuracy. But be prepared to 'tweak" a bit to keep it. Or. get an older one with a laminate stock --they are not as seriously affected by climate change. I have owned 5 of them and none needed any stock work. (I have since sold them to concentrate on custom and pretty wood #1s.)
Good luck,
wunbe
wunbe