I never suggested limiting it to Heads of House.  It was an example.<br/><br/>Our current problem is getting these teacher characters more face time.  No one wants their character to be limited to a support role.  If they can't win points, what good is a pizza party that happens off screen?  It's likely that every teacher is partial to one House or another.  Even Dumbledore was.<br/><br/>As far as "The competition between fans of a team and the competition between the players is on a completely different scale" is only true because there's typically a large difference between skill level of a fan and a competitor.  However, in this situation if you're implying that the teachers are the fans, the fans would have more skill than a competitor.  Allowing teachers to duel, for example, would be a huge learning experience for the student body.  If teachers are theoretically better than students, why shouldn't the be allowed to contribute points to a team?<br/><br/>We're also talking about a world where people ride broomsticks and resist magical mass murderers on conviction alone.  If the teachers had enough strength of character to resist Voldemort I doubt contributing to the success of a single House in a game is going to cause them a conflict in morality.