I think the same thing can be said for about any cartridge. Trying to make a 375H&H into a 378Wby or a 30/06 into a 300Wby will get someone in trouble real quick!
I've owned four different 416Rem rifles over the years and fired many hundreds of handloads through them...never once had a stuck case or anything that resembled high pressure. The ammo was used in 100* African heat as well as 35* in Alaska I've always used R15 and checking things as I went along yielded much higher speeds in two of the rifles, but I always loaded to 2400 for hunting ammo. If you keep the speed to 2400fps with 400gr bullets it should be fine in any properly working rifle and no more prone to pressure troubles than a Rigby loaded to the same speed. Yes, I've got one of those too and for me the Remington is the clear winner. A M70 done up by a top gunsmith is just a slimmer, lighter package that carries better for me, and offers the same amount of horsepower.
