I've long suspected the reason some shooters says the .416 doesn't recoil significantly more than the .375 is they've only shot heavier .416's. In rifles of equal weight, the .416 definitely recoils more, especially with its most popular 400-grain bullet weight.
I found this out by shooting several .416 Remingtons, two of which I owned, but the recoil calculator in Sierra's Infinity ballistic program backs it up. In a 9-pound rifle, the .375 H&H with 300's at 2550 fps (a typical muzzle velocity) generates 42.6 foot-pounds of recoil, while a .416 Remington in a 9-pound rifle with 400's at 2400 generates 57.3 foot-pounds. (That's using 75 grains of powder, also pretty typical, in both rounds.)
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