I currently have 2 No. 1's and in other time had a third. The two I have are No. 1 S in 338 Win Mag, and a No. 1 RSI in 7x57 Mauser. The 338 was made around 1985, I think Wilson was still making Ruger barrels then, but right out of the box, the rifle would shoot better than I could shoot it. It's no problem getting MOA from that rifle, as long as I do my part. It is relatively picky about what it likes though. It doesn't seem to like Nosler Partitions at all, but loves the 230 gr Win Fail Safes. It does shoot the 225 and 230 grain bullets of all flavors very well.
The RSI is picky also, I haven't come up with a load yet that gives as good of accuracy as Hornady's Light Magnums. I did have the 338's trigger lightened and smoothed. The RSI is still fairly new and I'm still working with it. It's kinda cold here now to be spending a lot of time at the shooting bench and my range is in an avalanche zone, so I haven't shot in awhile.
The one I got rid of was a No. 1 B in 270 Wby Mag. It shot extremely well, and had a great trigger right out of the box. I didn't like the beavertail forearm though and a No.1 just doesn't look right to me if it doesn't have sights on it. The 270 Wby is a very destructive round, especially if bone is encountered. It would be a shame to load down a Wby Mag, kinda like keeping a Ferrari in first gear. I like the 7mm Mauser better.
Having said all that, I have read that some folks have had problems with No. 1's accuracy. You sure couldn't make that arguement with the rifles I've been fortunate enough to shoot. I'm not sure about the stainless, all mine are blue steel and walnut.
I've read quite a few of the accurizing tips and tricks used on the No. 1, as a matter of fact that's how I came across this here website. None sound too tough to do. But, like I said, my rifles seem to shoot better than I can shoot them, especially after climbing 6,000 feet in the rarified air of the Chugach or Wrangell Mountains. One of the strong points for me is the way the rifle handles and the No. 1's are short and well balanced, they come up to your shoulder in a fluid grace and I don't have dig my face into the stock or raise it up off the stock to hunt for my scope. The rifle snaps to my shoulder and I'm looking right through the scope automatically.