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With modern hot loads it is a legitimate big game cartridge. But with recoil in the 458 WM range. If someone really wants to shoot big stuff a 375 is much more effective, and with much less recoil.
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There is no factory load 45/70 shot in a normal 22" pistol grip marlin that recoils anywhere close to any 458 mag gun. Not on this planet. The 375HH is hard to say as in a good rifle that does not kick much either and in a light gun it can be rough. They are both manageable enough. the 4570 certainly can be much milder and more fun than a full loaded H&H.
I consulted the recoil nomograph as found in the Handloader's Digest 8th Edition and the formula given in the Lyman Reloading Handbook, 43rd Edition to determine the "recoil energy" and the "recoil velocity" figures for the three cartridges in question (.45-70 Government, .375 H&H Magnum and the .458 Winchester Magnum) and found the following information:
Cartridge (Bullet Weight @ MV), Weight of Rifle, Recoil Energy, Recoil Velocity
.375 Mag (235 @ 2700), 9.0 pounds, 29.5, 14.5
.375 Mag (270 @ 2690), 9.0 pounds, 36.1, 16.1
.375 Mag (300 @ 2530), 9.0 pounds, 37.3, 16.3
.45-70 (300 @ 1800), 7.0 pounds, 23.9, 14.8
.45-70 (350 @ 1900), 7.0 pounds, 37.9, 18.7
.45-70 (405 @ 1330), 7.5 pounds, 18.7, 12.7
.458 Mag (400 @ 2050), 9.0 pounds, 41.7, 17.3
.458 Mag (500 @ 2100), 9.0 pounds, 62.3, 21.1