I think it could work. The relationships were so dynamic and shifting, I think it could be adapted to television quite well.
As for my favorite of the princes. I love Random. I like his wildness. He doesn't seem to play the same games that the rest of them do. That doesn't mean that he doesn't play games, but his are based on his own personal amusement. Theirs are all about power. Something about being the one without power, just makes him much easier to like.
DC