I've got a variety of Spanish 7mm rifles from the 1893 battle rifle, an 1895 Carbine and various 1916's. All eat PPU, surplus and my middle of the road hand loads with no issues. I've never had a desire to shoot any other commercial ammo out of them.
I do have a couple of Mausers, one a 1916 Civil Guardia and and Chilean 1912/61 that are chambered in 7.62. I haven't shot them yet but they have arsenal matching bolts and have passed headspace. For sure I will only use NATO spec cases and will probably load down my hand loads for these rifles but, I suspect, they would shoot the Lake City 7.62 NATO without any issues other than a sore shoulder.