I have two preferences in RIMFIRE scopes.
1) Rim-fire specific, lo power good quality scope. EX. Leupold XVII rim-fire in 4X or 2X7
2) Large, hi-power ADJUSTABLE OBJECTIVE scope in Target or Tactical guise. Not necessarily top quality, just a name brand.
I have both on different rim-fire rifles. the one thing that's of utmost importance to me is parallax. Rim-fires are generally shot at much closer ranges than the center-fire rifles. Most reg scopes have parallax set at 100+ yards, more than the normal rim-fire is shot at. Rim-fire specific scopes have parallax set at 50 - 75 yards. and Adj Obj scopes allow the shooter to set parallax where they want/need. Parallax can and does make a huge difference in how well your rifle shoots.
I have used most from Tascos, Simmons to Leupold's and Nikon's. In an AO scope, for a rim-fire, buy what you like. In a rim-fire and center fire scope, buy the best you can afford. As a general rule of thumb, i suggest the latter in all occasions. But I have seen the quality of new Tascos and Simmons at least equal to my 1960 era Leupold's.
Good Luck,
CW