I have had both.
My 8x57 experience is entirely in Zimbabwe. Everything I ever shot with it (196 grain Norma Oryx around 2,450 fps), died immediately. Never had to fire twice. Longest shot was 180 metres on a Zebra. Recoil very tame, and a sweet sweet cartridge ideal for bushvelt and pigs. Hardly any meat damage.
7x64 Brenneke I consider more of a "Euro 270 Win". Very capable, possibly unnecessarily fast for smaller UK deer at sensible stalking ranges, so I reverted to a 7x57, which seems to have the best characteristics of both the aforementioned calibres.
Agreed that hand loading would be essential to get the best out of any of them, due to ammunition shelves in gunshots only catering for long-range folk who can't get close, CM, and the like.