I think it doesn't matter much, but I keep stingers handy as well as mini-mags. My P22 won't cycle reliably with regular ammo; though it does fairly well with plain jane Remington .22.lr. Other brands, no way.
I don't know what if anything is available in a small package DA .22 revolver, but if I were going to go the .22 lr route I think that is what I would look for.
I think Janq wrote that he carried 22 magnum in a revolver. That I like. But, I don't know where to find a DA revolver for this round, or if any are currently made. The tiny NAA is single action only and the only .22 magnum revolver I have been able to find.