James B,
The 338 win dose not shot as fast as the 300 Win[:-][:-].Well lets see.
Published FPS from Federal
180 BT 300 win mag @ muzzle 2970
180 bt 338 win @ muzzle 3120
300WM 200 TBBC@ muzzle 2700 fps Ft/lbs 3238
338WM 210 Nosler @ muzzle 2830 Ft/lbs 3735
As for trajectory 200 yds sight in
200 gr 300 WM @ 400 yds -26
210gr 338 WM @ 400 Yds -23

I know I know they are close but the .338 clearly outshines the 300 just due the use of heavier bullets.
I mean come on a 250 gr Nosler your not goning to be shootin 500 yds with.But when the chips are down the 250 gr nosler is a great 300 yds bullet.
This factory loading and if you hand load you can get more out of both.
The 338 dose not hit as hard as the 375 H&H but the 375 still is not as fast or flat.
A 250 gr bullet from both hit @ 3958 for the H&H
and 3929 for the .338 win. still awful close.
Ok enough of my ramblings.
BBJ