I used a 36" barreled 30x378 on a custom action for long range PA hunting for about 30 years.
My velocity using a 200 gr SMK was 3500 fps.
The 200 gr outperformed the heavier bullets as for trajectory out to about 1500 yds.
Very very few shots are ever taken on animals especially in PA past 1500 yds due to conditions during the hunting season.
Anything less than a 30" barrel even with the modern powder, will not produce the velocity necessary to receive full benefit from the 378 case.
My advice for a 30 cal would be a lesser cartridge for that reason for hunting.
Also most hunters arent equipped for shooting that far anyway.
All Pa l/r hunters use a bench or something similar, and they all use the spotter system when shooting at animals.
As for the 338, go big or dont bother would be my advice.
The 338x378 is the most popular 338 in the area of PA i hunt.
My son has one with a 30" barrel and he like all the others struggle to reach 3000 fps with 300 gr bullets.
The 416 Rigby case is slightly better, and the improved version of that case better yet.
Most are using 250 gr for hunting for that reason and find that out to about 1 mile they perform better than the 300 does.
Make no mistake by what im saying, as the 338 will make you a better shooter at the longer distances with the heavier bullets.
But you should really watch them all fly across a wide valley towards a target before deciding.
And once you do then there wont be any deciding, because the cartridge will do it for you.
You wont be needing to be reading any statistical information.