Ripp's .416 worked just fine for him in Africa and it's a 65,000PSI (SAAMI) round. Only the 8mm Remington Mag. is higher presssure and it also has been used there and in other hot places, quite successfully at that. The 8mm Mag is is a 67,000PSI (CIP) round. They use the same case, BTW.
Of course all of the WTBY's and many standard ctgs. like the 6mm Rem. opr .270 Winchester are also 65,000PSI rounds, some, only 64,000, yet the H&H .375 is a 62,000psi round - troubles? I haven't heard of any, not to say they haven't happened due to dirt in the chamber, or rot (pits) due to neglect.