I swear I left a comment here but in regards to this:

Mustelvulpo:It seems to me that when we speak of a "presidential debate" we usually are referring to a debate not between presidents but between presidential candidates. I don't think that "prezidentdebato" clearly carries that meaning into Esperanto. To clarify this, I would say "debato de (inter) prezidentaj kandidatoj," which is too long to intelligibly reduce to a compound.

To be perfectly honest there isn't that much else that "presidential debate" refers to in either language. A debate with another president currently in office is called diplomacy, the EU/G8, or war

So I think "prezidenta debato" is fine.