He certainly lists, about half a dozen Frenchammo factories that made 303 ammo from WW1 until the late 30's, and they don't appear to have been making 7.92x57 ammo after a quick cross check with the known 7.92x57 ammo factories.
Labbett also list a pre-war Norwegian303 ammo factory, which again would have come under German
control, which also doesn't appear on the 7.92 list, and Spain which was making 303 ammo during the civil war, which could have been a poss source as well.
Labbett lists DWM – Deutsche Waffen Und Munitionsfabrik, Karlsruhe as a 303 ammo maker as well.
So, there's certainly possible Wehrmacht 303 ammo sources.