.473 is .473... but in terms of rim thickness there is a difference, matters for shellholders as well, can use one for the other, but not the other for one. That's where the 7x57 base differs from the .308. we are really splitting hairs unless you try to use a 6mm rem shellholder for .308.
You do have to watch the thin extractor groove. I have some RWS 7x57 brass acquired to make 6 Ackley cases, but the grove is so thin my BAT extractor hits the front of the groove. Solvable, but you do need to check if you start from 7x57 European brass.