The idea I guess is that you find your own (or continue with your own in some cases). There are a lot of teachers in Boston and other cities. And that the study of music at some schools is a liberal art.
Not many schools had my kid’s instrumental teacher anyway back then: some have added classical guitar since. My kid is primarily a composer so they had different priorities from a flutist.
I would think that schools with a grad program in music would mostly have grad students teaching undergrads. @helpingthekid73 it might be helpful to know the schools that are offering sample lessons and info on who the teacher would be (on the music major forum?)