So, nestled in there somewhere... One could be asking, "Are Mosin Nagants an accurate rifle?" That's a bad question, unless you had access to say 10 pristine examples and identical ammo to form a sound proof-backed comparison on the firing line. Now, you can weigh all the guys who say "My MN will hold .5moa all day long." Is that an accurate descriptive of MN's as a whole- hardly not! Aside from the few that I've had- surely there must be more that can't manage a 4"/100yd group. Yes, some MN's are/were outstanding- the majority, no. As in the U.S. with the 1903's- early sniper grade rifles weren't purposely built, they shot and examined so many out of multiple batches and chose the ones which performed the best to mount optics on. I may be wrong, but I don't think that changed much until Winchester and Remington civilian type rifles were purchased and pressed into service.
That does bring up a wonderment on rimmed ctg's. In the first decade or two of the 20th century, folks were finding out that their old standby rimmed .22 and .25 centerfires were getting left in the dirt by these new fangled rimless ctg's. Based on that alone without any scientific or practice based proof- I personally would not expect a great deal of accuracy out of a long thin MN bbl that has to deal with heat, thin stock, bolt play designed to contend with battlefield dirtied rimmed ammo, and ammo that was forced into dual roles. That latter part may be a non-issue, but I surmise that if fire formed Lapua brass could be had, it would result in a higher degree of satisfactory results as opposed to "factory standard" brass that will merely reliably function in either a machinegun or a bolt action battle rifle. True, the 7.7 Jap was a battle rifle, however, look at the differences in bolt lockup, stock to metal fit, barrel contour, barrel thickness and dementions, and case design.
I wish I knew what you were trying to ask. However, I kind of suspect you're looking for a single and simple black/white answer. Whatever the answer is- it isn't single OR simple. After all, a tortilla alone doesn't make an enchilada- it requires all that other stuff I probably don't want to know about, and is way above my head anyhow.
Good luck with what your'e looking for.