Kochou Suzuka was, IMO, the real boss here. Not to take anything away from Ayasa - she did her best and succeeded.

But for a girl (especially in the patriarchal Japanese culture and school setting), the typical (and real) scenario is a nail that sticks out is always to have it hammered down brutally. But Kochou succeeded in challenging the authority and giving students a platform to challenge the badge system. A person who stands up and challenges existing authority on-the-spot in any scenario is, IMO, the most brave.

>What-if<

The teacher ignored Kochou (like every judge who ignores the coach and/or competitor at every competition) and left the venue hurriedly?
It wouldn't have pleased the crowd, but competent/willful judges can and have ignored the popular opinion. Had the evil judge done that, Hiiragi wouldn't have kept her scholarship and suffered immensely for it. As a result, Kochou would have been left hanging embarassingly and the students discouraged from their lack of power. For students, there really isn't a way to appeal and overturn these rulings without massive spending/lobbying from their parents (or donors). And as a private school, the admin staff have their authority and power in determing their own competition events and judging students arbitrarily. And it is unlikely Kochou can punish the judges/teachers directly.