The 275 Rigby IS the 7mm Mauser. Exact same cartridge. The Rigby carts have cavernous cases, so they don't need to be loaded to high pressures. There's a lot of powder difference between the 416 Rigby and the 416 Taylor (416-458 Win Mag). The 350 Rigby and 358 Norma should run give about the same ballistics, but the case of the Rigby is quite a bit larger than the Norma version, so it has lower pressures. The idea for the lower pressures was hunting in Africa and India when the temps were at or above 100 F. A high pressure cartridge in that kind of heat is dangerous. Bad for the rifle, sticky extraction, etc... Bad idea when target is about to stomp your liver into mush, I guess.
As for the 7mm, the old 275 H&H Mag will duplicate the performance of the Remington version. Also Westley Richards 318 is nearly the ballistic twin of the 338-06.