Sure, it is not a target gun, but either is my ruger, colt 1991, Walther P99 QA 40 & 9, SIG P226, Beretta 92F, etc. yet they all can hit a 12x12 target at 50 yards every time EXCEPT my P22 which makes me think there is something seriously wrong with it. (mine not all P22, unless 3 feet groups are the norm for the P22)
that doesn't sound normal. Copper plated ammo should put little or no lead in the bore. And I was told by the factory to try stingers when my P22 started malfunctioning. I use them, velocitiors and minimags exclusively.
Try using some minimags, that may help the accuracy issue.