“Better off” how, exactly? What does he ultimately want to do?
FWIW, I work for a well-known audio company and we have a lot of engineers who come from a music background. For what they do (design and engineer audio components like amplifiers, transducers, etc.), a music technology degree would be much more desirable than a generic undergraduate business degree. In fact, I doubt the latter would get an interview without some significant outside accomplishments. So, which is “better” really depends on what he’s interested in.
In many ways, I think a music education is exactly just that… learning the mechanics of music. What kind of a “career” that translates into depends much more on the student