I've done it. It would probably be hit and miss on accuracy. Some criticize the Wilson barrels, but almost every Cooper I've owned and knew about shot very well, including all the centerfire 38s that passed through my hands. It's not the name on the barrel that makes it good.
This is just my opinion, but I personally think the highest odds for success on re-barreling a .22 LR is a Lilja barrel hand-lapped with a tapered bore, cut off at the tightest area (don't cut to a specific length; let slugging the barrel tell you where to cut and crown), then chamber with a "match" reamer. My personal favorite is the "Lilja 1.5 degree" reamer sold by PTG. I would lend you mine if you decide to proceed. Bluing sounds fine, but bluing just the barrel then installing it on the receiver can sometimes produce marring on barrel and receiver, even when taking great care.
Good luck.
This is just my opinion, but I personally think the highest odds for success on re-barreling a .22 LR is a Lilja barrel hand-lapped with a tapered bore, cut off at the tightest area (don't cut to a specific length; let slugging the barrel tell you where to cut and crown), then chamber with a "match" reamer. My personal favorite is the "Lilja 1.5 degree" reamer sold by PTG. I would lend you mine if you decide to proceed. Bluing sounds fine, but bluing just the barrel then installing it on the receiver can sometimes produce marring on barrel and receiver, even when taking great care.
Good luck.