The subtle thing that happens when the 338 is necked up to 375 is that the internal ballistics of the 308 Win are created, but on a larger scale. In barrels of equal length, expansion ratio and suitable powders are identical between the 30 and 375 Taylor. This means that the 375 Taylor is very efficient, and in spite of having 10% less case capacity than the 357 H&H, the Taylor easily duplicates and in some cases exceeds the H&H velocities and effectiveness with the same 375 cal bullets.
On top of this we have the long standing debate about the 338 Win vs the 375 H&H for big and dangerous game, and as the "one gun" that can be used to hunt anything anywhere". What the Heck is wrong with a single round with the best characteristics of BOTH?
Now we have stumbled on a technique in the lab that provides the Hornady Heavy Mag and Federal High Energy load technology to the 375 Taylor. This allows the Taylor to launch 300 gr bullets at 2750 fps - quite close to factory 375 RUM loads and a tad quicker than the 375 H&H High Energy loads.
Traditional handloads will launch a 225 gr Hornady at 3000 fps, 250 grainers a 2875, and 270s at 2750 fps. 300 gr flat based RNs easily do 2600 fps and the low drag boat tails 2550 fps. If you opt for a 1 in 10 inch twist, a 350 gr Woodleigh at 2400 fps makes more sense than a 416 anything in the US.