For my Ruger RPRimfire I kept the price commensurate with the gun and tried Weaver 4 hole (screw) rings. They’re ok and thinner crossbarred for the weaver bases.
What I really did not like more than the thin bar was that the crossbar is not captive to the ring base. It’s functional but an annoyance as I tend to mount rings with at least a slot fore or aft to make an adjustment early on. Loosening the cross bolts and adjusting the scope a slot over and your crossbar and nut falls away.....
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The PRW rings from Leupold are a better set up that way. Granted I think a lot of people don’t like Leupold rings especially the QRWs but I have had good luck with them on many rifles. They’re not on my precision rifles though, I have Badger and Nightforce iirc.
I am not sure what ring (or scope) that will eventually reside on my coming Vudoo. It won’t be Weaver.