The problem with this answer is that you are discussing a very different thing. A capitonym is exactly as I defined it. A homograph is similar, but different, as capitalization has no bearing on the meaning, only context. Examples are lead, bear and roll.
That’s exactly the difference - capitonyms require capitalization as a marker. It’s what makes them what they are.
The etymology is correct, but in this case irrelevant. The word is still a capitonym.
The wiki article I linked to mentions German having many capitonyms, Spanish having fewer. I wondered about other languages.