i'm not sure but i don't think so because i have seen "pre ban" hi cap 10/22 mags for sale at local stores. if it didn't matter why would they label them pre ban? i went to a gun store once and asked why the new ruger 22 ar-15 type had a collapsible stock and the guy behind the counter said because it was a 22. so his statement supports that it is exempt but i think he was wrong.
The only exemption that NYS has in the AWB for rimfires is tubular magazine capacity, which is almost sensible. An 8-round magazine tube for a .22lr could be filled over the legal limit with .22 shorts pretty easily.
Rimfire is not exempt, but the tubular magazine feeding device used on some guns are (Marlin 60 and variants for example). This is a fairly common misunderstanding.
California Law is basically the same as our own law here