The .375 H&H M-70 I used in Africa had a 2.5-8X Leupold, and I have nothing but good things to say about that scope. The purpose of scope magnification is to allow one to see his target, and usually .375 targets are visible even without magnification. When I had the scout scope on my .375 Ultra, getting hits on game sized target out to a quarter mile was doable, depending on conditions, just like it is with a 10X. So why not just use a 10x at long range? One reason is that most people consider the .375 H&H a hard kicker. Rifles that kick benefit from scopes that have plenty of eye relief, and the 10X scopes I've used don't have particularly generous eye relief.
If your rifle fits you, and a shot is made from sitting, so as to stay above vegetation, and your target is at a steep angle above you on a high hillside, the ocular is significantly closer to you, and if it's mounting allows it to extend behind the cocking piece, you've arranged to get cut. Now you can mount the scope forward, and use whatever magnification you can without donutting the image, but then you might as well just purchase a lower power scope.
I had a Ruger #1 in .416 Rigby that most folks would classify as an enthusiastic kicker, with 102 grs of 4350 kicking a 350 gr bullets out at 2850. I wasn't happy with the scope mounting possibilities of the factory quarter rib, so I had a custom quarter rib made, which allowed me to mount the 1-5X Leupold so the ocular was even with the front edge of the falling block. This mounting position was beneficial in that the loading/ejection port remained uncluttered, but more importantly, it was impossible to get hit with the scope mounted so far forward. I was limited to 3X at the top end of the magnification, but this proved to be no significant disadvantage, since I could always see my target at 3X, while the field of view at 1.5X was like looking out a window.