I use only Signature rings, for several reasons.
They don't mark up a scope.
More importantly, they compensate automatically for any potential misalignment caused by mounting screw drilling in the action, which is probably more common than we know. Misalignment causes torquing on the scope tube, which can even bend it...had this happen on one of my rifles. No need for lapping.
With rear windage adjustable mounts, a slight loosening of the front ring caps allows the scope to pivot when adjusting the rear. This is, IMHO, critical. Dovetail rings, by necessity are a very tight fit to the base and aren't going to move as the rear of the scope is moved side to side. There is no way that this adjustment will not cause torguing...unless they're Signature rings.
My scopes are all 40mm objectives, and I've found that Signature medium height rings place the scope as low as need be. 1/8 of an inch, frankly, is not worth fussing over.
IMHO, Signature design makes all other rings somewhat obsolete.
FWIW.