One daughter took a songwriting workshop at The Berklee College of Music when she was in high school. She liked it a lot. For a while she intended to apply to Berklee as a songwriting major, but then she decided to take a different path in life.
It depends upon what type of education you are referring to. At least in our daughter’s experience Berklee is very good at music from multiple perspectives. As one example, they covered some business related aspects of music in addition to the “just make music” part. Playing an instrument, songwriting, copyright issues, putting together a web page for your music (and making sure that you reserve the web address of your name before you get famous), how to get your instrument fixed, are for example all things that they know well.
If you are referring to differential calculus or quantum physics or premed organic chemistry or a rather huge range of other academic issues then I agree with you. If someone goes to Berklee to study songwriting, and then decides to change their major to applied mathematics, then I would expect that a transfer to somewhere else is likely (and it is not unheard of for someone to be good at both math and music).