I was part of a conversation a while back where the discussion was not only around weight of the loaded rounds but also rim thickness. They turned a gauge up on a lathe (basically a snug fit hole with a slight square cut on the edge of the snig fitting hole so any variation in the curve at the case rim doesn't affect the measurement). They then set up a digital vernier zero'd on the guage block, and could take a caliper measurement of the rim thickness in a repeatable way if that makes sense.
I recall something in the general run of conversation about the different weight groups lining up with different rim thickness groups, and after that the loaded rounds were split up between two mates. One of them had a rifle that liked the heavier stuff with thicker rims, the other's handily hated those but performed acceptably with the stuff at the bottom of the range. It was the difference between 1/2-3/4" and 1-1/2" groups if I recall.
I'd continue on with what you've done so far and if it tightens things up look into the rim thickness idea as well as it might show a preference in your rifle that might help you in finding ammo that it likes in future. Interesting post though!
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