All of the listed cartridges can do the job, plus many other similar choices. Some are better than others. Some are better for different tasks. For a plains game hunt with some bigger stuff, a .375 might be a choice. Or for recoil it might be better for some.

A larger cartridge might kill better but might not be the best choice. Or for some.

Lots of people shoot heavy recoiling rifles very badly.

Also buffalo aren't armour plated, thousands have been shot with medium rifles.

I do like something big for elephant. Or when it goes badly.