I think that the main issues with weight would be with the LV and Sporter classes, particularly as heavier scopes have become common.
One option for weight removal that is not commonly seen is something that I did years ago to adjust the barrel weight of a rifle that was already at the limit, so that I could use a tuner. I had steps cut in the barrel. We left the muzzle at its original diameter, which was correct for the tuner threads, and cut the front of the barrel to a cylinder of that diameter back to the point where there was a difference in diameter of .100 with the original contour. At that point another cylinder section was started that ran back to the point of the same difference in diameters. From that point on, I left the original contour. If I remember correctly, the result was a weight reduction of about 5 1/2 ounces. The barrel was a Shilen (button rifled) and there were no resultant accuracy issues. As a matter of fact, it went on to shoot rather well for a couple of individual matches with the tuner in place. When cutting down the barrel we took our time, making many light cuts with a pointed tool and then smoothing with a file and a home made belt "grinder" at the end. I am sure that Paul Mauser would have been proud ;-)
I know that this is off topic, but since I have not seen this method used to pare weight, I thought that I would mention it in case someone is having a problem. Of course this would not be for everyone, particularly those who would be uncomfortable showing up a the line with something that looked unconventional, but from a purely functional perspective, it worked just as planned. I had done the calculation to determine the amount of weight reduction, and it came out right on the money.