Well, at the end of the day, the 308 is one hell of a cartridge, and I'll bet you'd never see any real difference between the two on game. Ditto the 7-08.
I used my 7-08 MT this year to knock over a nice 6pt bull elk with a 150 Ballistic Tip, and I really didn't see much difference than anything else I've used on similar sized bulls from the past, up to the 338 WM.
Cartridges are more alike than different