Given that bullet-barrel interactions are only one part of the puzzle of dispersion, and bullet quality is another part - possibly larger - this test may not demonstrate anything as far as "testing if accuracy improves"
To see a difference (improvement) in precision of the order that you might reasonably expect (0 - 10 % change in mean radius?) from barrel "break in changes", you'd likely need massive sample sizes to have confidence in the result even if you used good quality bullets and ammunition. What you might demonstrate is that there is no meaningful difference that can be established, so people shouldn't worry about it
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