Sure, new housing could be built in the primary core but it would not be TOD housing, which by definition provides less space for cars and revolves around the use of a fixed transit system (that is why buses don't spur TOD, they aren't fixed they are highly flexible). The goal is to not build more sprawl, but rather high density, low price housing. Currently, everyone without kids pays for the schools that serve other peoples kids. And some people in certain areas, like ewa, already pay more via impact fees. SO this really is nothing new.
Pleas provide the list of schools in the primary urban corridor that have been considered for closure. I am only aware of rural schools.