I don't think the issue is natural/supernatural powers. Like, I don't particularly worry about the source of my character's powers (unless it's psionic). We are making heroic characters for a game. I think the issue is where the line is drawn, and some folks want martial characters to be way over in Goku territory, and a lot of other folks don't see that as their class fantasy.
Literal Goku territory, with suggestions (in this and other threads) including being able to jump mountains and cleave through boulders.
I suspect quite a lot of us are thinking more in terms of Conan, Lord of the Rings, and Game of Thrones. Badasses, to be sure, and folks who are more than capable, at elite levels, of altering world events. But not gods or superfolk. A class that feels basically mundane, depending on the sub-class choice.
Speaking of which, I also find it odd that this discussion, which we have over and over, tends to focus on the most mundane version of classes like fighter, as if you don't have an option to play an Echo Knight or Arcane Trickster or whatever.