I dont need any paperwork either to buy and own Springfield reproductions or anything designed before 1871. So what?
I could even buy a Krupp Gun from 1860 and I wouldn't have to fill in any paperwork.
Just stuff from after 1871 is forbidden. Or rather harder to get, you need some paperwork for that and take a weapon course. Still, since that MG42 is demilled, I could buy it without any paperwork too.