By the way, I looked it up and compared it to commonplace 1025 carbon steel. Other than the composition, they don't seem to have Any difference what-so-ever. Is it that 5160H was less expensive, or did the source I found even know what they were talking about?
Composition does make a difference in terms of wear resistance, hardness, etc. Plus the best steel is junk if you can't heat treat it properly, and we're very comfortable with heat treating 5160H to a good hardness while still remaining toughness. If going with a plain carbon steel, we prefer 1095.