Rimfire scopes usually feature finer reticles and have their parallax set for something like 60 yds. This parallax setting allows you to shoot smaller groups at the shorter, 25-75 yd. ranges
Some companies, like Leupold, will reset their standard big game scopes for a shorter ranges which would allow you to use any of them for that.
There are also some excellent, smaller AO scopes which allow you to set the parallax for any range. Say for the guy that shoots his rimfire at 50, 100 and even 200 rds.
There isn't much difference in parallax for most scopes between say 150 yds. and 300 yds. But there is often alot of parallax at 50 yds. when one uses a scope set to be parallax free at 150 yds. There can even be a significantr amount at 25 yds. with one set at 50 yds.
I've never had much luck trying to keep my head centered in the scope to reduce the error induced by parallax. E