I was reading that weight mattered more than rim thickness.From the limited reading I've done, sorting by rim thickness may provide more benefit than sorting by weight since the 22lr headspaces off the rim and in general, less expensive ammo would benefit more from this than top grade match ammo due to greater variation in rim thickness. It also looks to be even more time consuming than sorting by weight.
Although I sorted a few hundred rounds of "better" ammo by weight a while back, I have decided to take a pass on both for now. It appears I can get the accuracy I need for the games I want to play simply by paying 9mm prices for 22lr ammo. It is fun to experiment though and to strive for the tightest repeatable group possible from a given firearm.
I'll probably order the Hornady thickness gauge set and do another round of testing. Because reasons.