Every tool has a job.What's better for north American game? I have a hell of a deal on a 375 h&h browning. But part of me believes when I leave Alaska a 300 is a better gun? So for whitetail mule dear and elk what is better a 300 or a 375 and why?
Can yo drive a nail with a box end wrench?
Yes you can, but I wouldn't want to frame a house using a box end wrench as a hammer.
Different game, different calibers...same story.
Most of the experienced hunters I know have at least 3-5 rifle calibers for big game, ranging from .243 to .458 and beyond.
Also, most of them started with some sort of .30 caliber, be it 308, 300WM or 30-06 because it covers a broad range of game.
That being said, a 375 will cover just about everything you want to hunt, but at at price.
The price of the firearm (cost more than a .30 cal), ammunition, recoil and some ranges won't let you shoot above a 338.
You need to ask yourself some more questions and see how you really feel about it.
My personal opinion, get a 375H&H and never look back.