I haven't met any POA/POI issues with my .22 LCR out to 50 yards but will admit my Beretta 21A changes elevation a bit between Mini-Mag and Stinger. Not enough to be unable to hold the center ring of an IALEFFI target on a qualification course of fire out to 25 yards if I remember which load is in there, though. Been years since I shot a J22 to pieces but I remember even that potmetal thing not shifting POI enough to care between Federal bulk pack and CCI Mini-Mag.
I get people wanting adjustable sights but personally much prefer fixed regulated for a reasonably common load. Now watch me get one of these LCP IIs and find out POI is sensitive to various loads.