The entire set-up is a mess. That's why I asked Exael for an org chart. ... Which she refused by the way.

Let me break it down for you simply. The Princes of Hell are the producers - full demons. You can find references to them in most demonology books.

They each have their own staff and employ hosts that run the games. Lackeys, at worst. Minions with their own agendas at best. Those are the ones you see at the games.