IMHO the difference in the Parallax setting between a rimfire and centerfire scope has a negligible effect on practical accuracy. Centerfire scopes tend to be sturdier, but also (slightly) heavier, if weight is a concern.
The only Rimfire scope I've ever been truly happy with is a Leupold VX-1 2-7x. I've tried several others, and they're cluttering up my spare parts boxes now.
In general, a decent centerfire scope will be nicer to look through and last longer than a good rimfire scope. Once you get into the "great" scope categories, the prices start to really climb for both, so might as well get something you can switch up to your shoulder fired artillery later on.