My cousin hunts hard and also rams targets out to 1000m for fun, always been a 300Win guy, he's pretty into it, always custom barrels.. usually buys 2 at a time cut the same, Lapua brass, loads with gloves on kinda serious lol.
Got a 300PRC, same route, didn't find much difference really, the extra 15 or 20 grains heavier vlds may get a hundred meters at the extreme end of the usable range of 300Win with 208grs and 10 twist, but that's getting into 2000m range kinda games, way more issues hitting things there then a couple BC out of the bullet lol.
He did find the recoil sharper with the PRC, more barky then the 300Win push he was use to, likely due to higher pressure loads though.
For the belt vs no belt argument, makes zero difference in loading accurate ammo...none at all, everything is off the shoulder after first shot with the brass, pointless to even make that argument lol.
End of the day they run pretty close in velocity with similar heavies, depending on the rifle one may be faster then the other.
He went back to 300Win, the 300PRC is probably the most redundant of all the new PRC/CM whatever Hornaday trying to sell you.