Today, with the CNC manufacturing processes that statement could be true of many rifle cartridge combos.
IMHO, for many shooters the 375 H&H has far more recoil than many can handle. Factory fodder isn't as hot as hand loads in most cases and surprisingly, seems to be mostly loaded with lighter bullets for caliber to alleviate the recoil situation.
With the larger diameter of the .375 trajectories tend to be exaggerated with lighter bullets. Same goes for the 338 and 35 magnums as well.
Like you, I am a true admirer of the 375 H&H but like many cartridges designed for Africa, they are loaded for the extreme temps in those locations. As far as extreme cold behavior here, that again depends on the loading.
With poorly designed or to light rifles, stock damage can be a problem and the felt recoil brutal.
I've heard the heavy push, rather than kick story before. I will no longer work on such rifles because of the felt recoil. Last fall I bedded and repaired the split stock on an older 375 Weatherby Magnum. It was a very nice custom rifle with very fancy Walnut and personalized checkering. For some reason, the builder hadn't installed cross bolts. We inletted it in the milling machine for some aftermarket cross bolts, installed them and glass bedded them as well as the action. I refused to sight it in after the scope was mounted. He went to the range with it and tried to sight it in. What a joke. He was terrified by the recoil after the first shot. The rifle was his father's and he was under the mistaken impression that his father used to shoot it regularly, like a 22rf.
For some reason he forgot that his father had put it away about 30 years ago and went to a 338OKH. He just didn't bother to have it repaired after the stock split. He also found three original boxes of ammunition for it. Only 25 rounds had been fired, all over open sights.
I will readily admit this is an extreme example but it is an indication of the recoil generated by this round. Admittedly, there was IMHO way to much drop in the comb to accommodate the open iron sights which were excellent and built by Parker Hale.
Personally, I think too much is made of recoil from the various .375s. There is little reason for a well designed and correctly bedded and cross bolted stock to fail under the recoil of even a .378 Weatherby. Will this level of recoil be beyond the comfort level of a casual shooter, or someone who is physically impaired or injured, or a once a year hunter? Certainly, but if you're fit enough to play and enjoy contact sports, the only requirement necessary to dominating such rifles, is the desire to do so. This is not necessarily true of big bores that fling an ounce or more of lead, without the use of ear splitting gimmicks to moderate the recoil, although a true big bore usually fills a different niche. However, if the LOP is correct for the shooter, and the scope is mounted much behind the cocking piece, anyone but a fool would be afraid to shoot it. Getting cut by the scope on a hard kicking rifle is no joke, and if you think getting tagged with a scope mounted on your .30/06 stings a bit, you haven't lived until you've taken a hit from the ocular of a scope mounted on a enthusiastic kicker. This is the reason I went to the expense to have custom quarter ribs made for both my .375 Ultra and my .416 Rigby; so the scopes could be mounted far enough forward so I couldn't be hit regardless of the position I chose to shoot from.
Modern stocks do not accommodate shooting with irons particularly well. While the height of the comb enables the shooter to establish a good cheek weld while sighting through a scope mounted high above the bore, its generally too high to acquire a reasonable sight picture with irons. Shooting with irons will force you to mash your cheek down hard on the comb, and the sensation you experience upon firing while memorable, will not be pleasant.
But attempting to evade the effects of recoil by going to a .35 Whelen, a .338-06, or a 9.3X62 will only be marginally effective. As a rule, these cartridges are chambered in lighter rifles, so despite the smaller powder charge under that 270 gr bullet, the recoil velocity and subsequent energy will still be significant to someone who is recoil sensitive. The best reason there is to going to one of these cartridges is so you can acquire a rifle that is light enough to carry all day in difficult terrain without being unduly fatiguing.
The importance of such a rifle became clear to me when I left the cold and thick sea level air of coastal Hudson Bay to wander about in the warm thin mountain air in the Yukon. After a bit of that, I came home with an idea for a .350 mag or a .35-284 on a short barreled M-7 or a M-700 Remington fitted with a fly weight Kevlar stock. C-FBMI's M-7 KS in .350 magnum was a joy to carry on last summer's adventure, and the idea of a flyweight powerhouse took hold. After some discussion with the gunsmith, the original concept morphed into a switch barrel, the primary of which will be a .375 Scovile, (a 9.3X62 with a .375 bore) with a #3 contour barrel attached to a M-700. At first I was just going to go with the 9.3X62, but I badly wanted another Ron Smith barrel, and unfortunately he doesn't make a 9.3. Anyway, I expect that the velocity I got for any given bullet weight in the 9.3X62 will be mirrored in the Scovile, with a bit more recoil due to the lighter rifle. That rifle will be finished soon, and I hope to be shooting it and reporting (read bragging) on it in the near future.