A related issue is the accuracy potential of military surplus ammo itself. I think the best of it is no better than 2 MOA capable. Quality handloads will always bring out the best accuracy as you can drill down and select the best components as well as achieving consistency in case weight, case preparation, charge weights and other variables.
I was always somewhat biased against the Mosin-Nagant (the "Ugly Betty" of MILSURPs) until I started handloading for a M27 Finn Mosin with a Tikka barrel. It turned out that it shoots .308 bullets very well and is near the top of my MILSURPs for accuracy.