Succubi aren't Demons in 5e.
5e does actually an incredible job of explaining that. Especially in the Mordenkainen's Tome of Foes, which has the best demonstration of that ever, IMO.
This part isn't really accurate, though. At least not for this edition.
*Some* Devils are genuinely servile, sycophantic, or even personally loyal to their superiors, but most of them aren't.
The average Devil thinks of themselves as one of the Better People deserving to be on top, and that reality doesn't reflect that is nothing but a temporary embarrassement they will correct. They obey their superiors due to a mix of This Is How Things Are Done, legal obligations they can't dodge, fear of punishment, and thinking obeying now will give them opportunities later if they aren't already using the opportunity to try and advance themselves right now. In fact, most Devils are actively working to betray their hierarchical superior and take their place.
So no, the odds of the usurper king having *several* Devils who would happily bend the knee to him are quite low. The odds of having Devils *pretend* doing it while taking the king to the cleaners or moving their own pawns in the shadows is quite high, however.