IF you are buying new
AND! reload your own.....pick whatever.
Please remember Ultra Mag chambered rifles require the 26" barrel to achieve roughly 200fps over the H&H with a 24" tube. The 376 styer gets real close to the H&H with 4" less barrel btw..
Reloading you own is the difference maker in identical rifles. The H&H gets the nod if you shoot more than a box of 20 per year (and don't reload). You can actually find H&H at a big retailer. Hit and miss on 375 RUM ammo. The web makes anything possible, but a time lag is there.
Ultra Mag brass or ammo is insane, I know - started with the 7mm and have a sweet spot for the 375.
Performance wise - when you remove your eyes from the paper ballistics and study real world performance reports - the 376 styer becomes the logical choice - oops! it has left the scene; a downloaded 375 H&H to about the 376 speeds ( about 150-200fps slower) is an ideal elephant loading - from what I've read.
Recoil is a result of the amount of WEIGHT of powder and bullet. The ultra mag loads you up with powder.
I've shot my 375's @ 300 yards, the H&H has the trajectory of a '06, the ultra mag is about the same as a 270. ( the 376 is about a 308 in comparison - loosely.)
They will each put the whammy on African big game.
The bigger two (seemingly) kill on one end and maim on the other.
Recoil measured is not consistent as recoil perceived - the rifle fit and stock drop have a lot to do with comfort after ignition.