The fellow that I used to work for, has a much bigger rifle and scope budget than I do, and since I was the one that introduced him to some of the finer points of rifle building, shooting and reloading, it fell to me to mount his scopes. Let me tell you, when you are mounting scopes that retail for more than 2,000, for the fellow that signs your check, you want to get it right the first time. The rings were top of the line, and the scope bases were integral or one piece. I used Kokopelli lapping bars and the compound that is furnished with them. The story is told when you take a few strokes with the charged bar, and then look at the cutting pattern in the bottom halves of the rings. In every case, the fit was improved by lapping. None of this guarantees the alignment of the scope, that is determined by the alignment of the action's base mounting holes. The actions that we were working with were all custom and pretty well aligned, based on the amount of adjustment it took to zero the scopes, starting with the reticules centered. I have also bedded rings with good results. The easiest solution to date, when weight is not critical is to combine a Weaver spec. base or bases, with Burris Signature Zee rings. With these rings and the proper pairs of offset inserts, minor miracles can be accomplished. I have a Savage rifle that required .020 offset inserts, installed with the offsets aligned horizontally, with the front in the opposite direction from the back, to center the scope on the action. The combination worked very well, bringing the scope very close to perfect alignment, with no lapping, bedding or any sort of metal work. Obviously actions should not be this far off, but this one is, and I was able to fully compensate for the misalignment. Lots of fellows are told that you can buy the expensive stuff and just bolt things together. If you are dealing with factory actions this is complete BS, and even with custom actions, it is better to either lap or bed. As to whether you will see any difference on the target, it is hard to say. That depends on how correct other details are, including the rifle, scope, loads, and the shooter.