“If Man-Bat dressed up as a man to fight crime, would he be Man-Batman?”

“The Big Bang Theory” Season 9, episode 21. In the comic book store:

Sheldon: I have a question about Batman. Batman is a man who dresses up like a bat. Man-bat is a part man, part bat hybrid. Now, if Man-Bat dressed up as a man to fight crime, would he be Man-Batman?

Leonard: No, he’d be Bat-Man-Bat.

Raj: But wouldn’t Man-Batman just be a Batman that was bitten by a radioactive man?

Howard: But Batman is a man. You’re talking about a man who would have the powers of a man. That’s just Man-Man.

Sheldon: Well, isn’t Man-Man just Man?

Leonard: But what if Man-Man dressed as a bat?

Raj: Well, that’s just Batman.

Leonard: No, if a man dresses as a bat, that’s Batman, but if Man-Man dresses as a bat, that’s Batman-Man.

Howard: So does that answer your question?

Sheldon: Oh, I haven’t asked it yet.

If Batman is a man dressed like a bat, then wouldn’t a Man-bat dressed like a man actually be Manman-bat?