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I think he talks about being listed here

https://itch.io/game-development/engines

https://itch.io/game-development/tools

Being hosted on itch is not a requirement for those tools. 

Speaking of which, those links are hard to find. Or where to they get advertised?

I don't think they are. You have to find another game made with them and click the link in the More Information box. And I see what you mean now. New tools and engines are added very slowly. Even fairly well known apps aren't there.

That's what I'm curious about. I wanted it listed there as an engine. I only created the itch.io page because I thought perhaps that would help it actually get published. I added a download file.

(+1)

That will allow your project page to get indexed, but redonihunter is right. I misunderstood your question. It won't help your engine get listed as an engine. Sorry about that.