I actually was quite smitten with the .376's case, and got three reamers to make four rifles (VZ-24s) based on that case: 1) The .376 Steyr, 2) A .358, and 3&4) Two 8mms - one short-throated for 125-grain bullets, and one long-throated for 195-grain bullets. The first one I made was the short-throated 8mm.
I should point out up front that I am not one that subscribes to "max loads". In fact, I have recently settled on a new set of criteria for my
hunting rifles:
1) Muzzle energy less than 3600 ft-lbs (preferably less than 3300 - .338 WM level or less),
2) 2000 ft-lbs of delivered energy to 300 yds, and
3) No more than 12 inches of vertical deflection out to 300 yds.
It's quite easy to achieve these goals with the .376 Steyr case and keep the chamber pressures below 50kPSI. In the larger calibers, the chamber pressure is at or below 40kPSI.
I can't comment on the accuracy I am able to achieve yet, as the first rifle I made was the short-throated 8mm, and I used a take-off VZ-24 bbl to practice with. I was in the process of replacing that bbl. when my lathe's lead screw froze up. In the mean time, I decided a .375x55 Swiss was a good .375 cartridge as well, and got a reamer for that cartridge too. (A .375 bullet on the 7.5x55 case). I mention this because the head/rim of the 7.5x55 Swiss case is the same as the head/rim of the Steyr case. Also I am trying to make something of the several K-31s I have. For those that don't care for the 0.500 head of the x55 case, the same .375x55 reamer can be used to chamber a rifle for the .375x.284 WinMag, as its dimensions are the same as the x55 case except for its "normal" 0.473" rebated rim. In other words, this reamer could be used to cut the chamber in a barrel for a rifle with a "normal" bolt-face of .473".
Anyway, my loads would probably be too anemic for those interested in squeezing the most velocity out of a .376 Steyr. But, I
can shoot it "all day", and if 2000 ft-lbs at 300 yds won't "do it", well... actually, it will, so there's really no "if" about it.

Paul