I use 4X32 and 1-4X24 scopes on rimfire rifles all the time for squirrel hunting.
Not sure what the parrilax is set for...
But if I can hit a squirrel in the head at 30-40 yards I figure it don't matter.
I have heard of what you are talking about, but I have never tried it.
I figure sure as anything I'll mess my scope up.
The best way to tell if you have a parrilax issue is to set up the rifle
looking thru the scope at a given distance you wish to shoot, and
slightly move your head side to side and see if the crosshairs move.
But, I only worry about it if my gun won't group...
And then, if that happens and I determine it is a scope/parrilax issue..
I try another scope.