How is that the end of the problem? I agree that the school should face penalties f they haven't taken strong enough action, but they can't stop it on their own short of making the place look like a police state. In fact, I think that jst entices the juvenile mind to try harder. Punish the actual violators, or as many as possible. If their actions don't have unpleasant consequences, they have little incentive to stop the behavior. Schools and venues could face incredible liability for not doing everything possible to prevent court storming.
Cause stampedes are good. . . .
I didn't specify how the school did it. Get 10000 or so folks on the field, Martians, students or whatever, levy a 10,000,000 or so fine at the host and they'll erect gates post guards, cancel events, etc. Cancel home football games that's pretty unpleasant. I've seen schools threaten to reduce student tickets over empty seats. Amazing results occur when privileges are taken. You'll see the same result with none of your bleeding heart doom and gloom if you take their football team as a result of their own action.
Life has consequences. You can't take action against 10,000 individuals. The retaliatory legal fallout would cripple education. I can assure you that you blast the institution with crushing fines, they'll control the venue.
Send your little girl to a big soccer match against two bloodthirsty international opponents. Let her charge the field. When she gets out of the hospital, we'll talk about your revised concept of a police state.
You really should review the court record of the NCAA versus individuals.