I have a Heym-Ruger HR-38DL (a much-modified #1) in .30-'06 and a #1H in .375 Hollands' Magnum. Both are 1MOA rifles. My best trophies were taken with these, rather than my bolt rifles. My best-ever, three-beer-story, shot was made with the Heym. Neither of these rifles is "finicky". Any reasonable load goes where I point it.
My best fun is freaking out younger shooters by whacking steel gongs at 200 meters with the .375 "cannon", standing, off-hand. Set up the way mine is, the .375 is easy and gentle to shoot. Most young folks simply have never seen a good, single-shot rifle.
I've read about problems with #1s. My guess is that during a production period that Ruger depended on a certain contractor for barrels, the quality just wasn't there. At this time, I don't know if Ruger does the barrels in-house or contracts for them but all new production does use a hammer-forged barrel of very good quality. Any #1 of recent production ought to deliver good accuracy.