I was surprised in reloading the Rigby. Own and have owned most of the big magnums. Rigby uses rather faster powders than I would have expected, and is historically loaded to lower pressure. Suppose that's because of tropical temperatures in Africa and Asia. Most historic powders would have been very temperature instabil. In a modern rifle, in Kanada, I suppose you could load the 416 Rigby much hotter. Powders used to get decent performance in the Ruger cases should really push the Rigby with its big case. We've come a long ways from cordite.
In the end though, I'm not really sure of the point. The obvious problem is recoil. Secondly, while the 375's have decent projectiles, and can be useful to mid range, the 416's dont/aren't. It's in a no man's range between the versatility of the 375's and the true stopping rifles. Seems to me most high bc 416 projectiles are designed for target calibers like the cheytac. Thirdly, if you hunted with a hot loaded 416, it's really only useful in the remote north, or Africa. To handle the recoil, you'd want a heavy rifle, and packing that 10-20 km a day is more than my broken body could handle