I'm with Con on this one. The original style Weaver rings are admittedly a bitch to get the scope vertical as the rings roll the scope as they are tightened, but once the scope is in place it will never move. They also have the proper square section recoil pins to match the Weaver base or bases, unlike some copy rings which have round profile pins. I "two tube" epoxy glue all my bases and screws to the receiver and have never lapped rings.

Keep in mind too that the higher the ring, mechanically there is more break out force applied under recoil on the base, so a heavy scope mounted high will really test the integrity of the ring to base clamp strength under heavy recoil. For that matter it will also transfer that high mechanical leverage to the base mount screws as well. My little 2x Leupold in 2mm high Weaver rings on a one piece Weaver base has never moved in 30 years on the .404.