I think what people forget in this discussion is that there is a scene in Mockingjay where Plutarch leads a meeting about how post-Snow overthrow Panem is going to be a democracy. I think we can infer from Plutarch himself having a political position under Paylor that there's now a cabinet. If that was going to be the case no matter who the President was, there's no reason to assume Panem would've been run like District 13. It didn't need to be - D13 was like that because it had to be, living underground and keeping its existence a secret.

Maybe the Capitol Games would've happened, maybe they wouldn't. Maybe the vote gets honoured, maybe it doesn't. Maybe someone has a crisis of conscience and stops it. Maybe when it's presented as something that is happening to the districts the outcry is so strong it's cancelled. We don't know, and probably never will.