With 1 exception, installing a 7/8" Lyman Alaskan on a previously bubba'd Winchester 54, I haven't used Weaver rings for years. I use Warnes on 1st tier rifles and either Warnes or B-Squares on lower tier rifles.

There is a tote in the storage unit with dozens of sets of low, medium, and high 1" Weaver rings, some that are probably 60 years old.

When I used them, I always put the thumb screws on the right side. I don't know why, just did.