I agree with your next move of trying out 158 gr XTPs, but your experience does make me wonder a bit.
Do you happen to experience any barrel leading when using the gas-checked bullets? I know that seems like a counter-intuitive question, but the reason I ask is because I wonder if the gas check is actually under-sized for the bore, to the such a point that straight-up obturated lead based bullets are giving you better accuracy.
If it were me at this point, out of sheer curiosity, I would take those same gas-checked 158 gr bullets, and load 20 rounds -- 10 with gas check, 10 with gas check removed -- at the same powder charge. You may need to load to a lower velocity so as to account for the lack of gas check. I would then shoot a careful string of 10 with the gas check, clean the bore, and then fire a careful string of the non-gas checked, and just see if there's any difference.
Or you could slug your bore and compare your findings to your gas check diameter, but where's the fun in that?
Or just leave it alone and move on with life, like a sane person.