I love the #1's especially the 1S model, however while I don't see the 375 from the standpoint of:

To me a 375 is a dangerous game rifle namely the big bears in NA. I would prefer a repeater if I thought I really needed a dangerous game rifle.

Practically the 375 is too big for what is truly required for NA game so it is not what I would consider an all arounder.

If I wanted an all arounder for NA game I would probably opt for the 1S in 300 H&H and even that is a pretty big rifle but much more suitable for deer elk and 99% of the hunting we all do.