I have a 338 ARC and a 300 BO and an 8.6 BO and the one thing I can weigh in on is the sound level difference between what powders you use in subsonic loads. AA1680 was the recommended powder for the 300 BO when it first came out, mainly because with the original carbine length gas system, that double based powder would guarantee decent cycling with a port that also doubled for supersonic loads. AA1680 also appears as the recommended powder for the 8.6 BO that also has a carbine length gas system. I found AA1680 to be a loud powder for subsonic shooting with a can, hard to tame the muzzle report to get things real quiet, even with a can. On the other hand I have been running LilGun powder in the 338 ARC, the 300 BO and the 8.6 BO and have found that powder makes things super quiet ("hollywood quiet") and it also burns much cleaner too.
As far as cans go, I do not have a .338 can but I do have a Silencerco Omega 36M and also a 46Hybrid. The 46 Hybrid with the larger internal dimensions is a little louder than the 36M with .338 cartridges, but honestly I doubt you will see much difference between a 9mm can (.355) and a .338 can, except that most of the .338 cans are bigger and longer (i.e. for something like a .338 Lapua) so by their sheer size and length they do quiet things down more.
Robert