The old British cartridge designers and the mid American cartridge designers got most things right as to bullet weight and velocity.

The Kynoch double rifle cartridges, 375 H&H, 416 Rigby, 404 Jeffery etc produced the necessary bullet weights with velocities that produced reasonable recoil that allowed average men with reasonable practice to learn to use them properly. More velocity allowed for flatter trajectories that made cartridges more versatile, but at the expense recoil that many could not properly handle. Ditto the mid American magnums like 264WM, 7mmRM, 300WM, 338WM, 458WM.

I, myself prefer a slower push than the faster cartridges produced. Sharp recoil is not for me. For that reason, I would not use the 378 Weatherby. By reputation, it is more recoil than I want to learn to handle. Therefore I have a 375 H&H and it's slow recoil push instead.