Arc, any school who teaches respect and derech eretz does not have the chutzpah to not show the Vaad Harabonim of the local communities respect and derech eretz especially when it comes to such a situation. After all the parent body and the students all fall under the auspices of not only the schools but the local Rabbonim who are part of the Vaad. So if the Vaad were to tell ALL the parents to keep ALL the children home from school till this was all figured out that is what the entire community would have to do.
So no the VAAD does not RUN the community but neither does these two schools. And when all is said and done the VAAD has more power over the communities than these two schools do.