Morning, i've seen those 400 gr. bullets. They appear to be a cross between Barnes and the Lost River design, with no particular cross breeding between the two. The LRBT design is patent protected (can't blame them) and the Barnes material is wrong. Combined with that bullet material and the velocities, you have some serious wear issues going on. As you know, brass solids are highly abrasive. The brass is too big, making the need for a too big reciever, but that's not exterior ballistics. The .50 case could drive the 419 .408 bullet faster, but perhaps not as efficiently because of powder / barrel length / efficiency issues.
Right now the 375/408 will smoke this 416 Barrett in a smaller case, with a far superior designed bullet. Is your 338 rifle based on the .408 case? Have you tried the new US869 powders in that?
The .375 bullet I use is from Lost River Ballistics. I know, that'll raise some fur, but they make the best solid long range bullet out there. I've shot them all, alot, in testing against the .408 to ranges of well past 2000 yards. Jacketed bullets don't have the BC values to push supersonic to 2000 with having a short danger space.
Won't say the meausured and determined BC directly. But let me put it this way, the launch velocity is 3265 fps, and has a supersonic range of 2930 yards at standard air conditions (APG BRL standards). If you have a back calculating program, you can do the BC check on that.
I'm doing my calculations using a developmental spreadsheet program used to develop the CheyTac ABC program. It has the capabilities to back calculate the BC values to the 4th decimal with extreme accuracy. What is needed is the initial muzzle velocity, the range, and the elevation setting from a parallel bore (not from the zero range, i.e. 100 yards). Parallel bore is usually about 4 MOA added to the elevation setting needed to strike the target at your range. For example, the 375/408 needed to 39 MOA from a 100 yard zero to strike at 2056 yards (these conditions). Add 4 MOA to that figure, you have a Parallel Bore setting of 43.00 MOA. That's a hell of a BC value. It's been check and verified and i'm building the G1 curve of changing BC values now.
Lots of explanation, but worth it.