People keep citing this Forbes story that academics are more likely to have academic parents than random people from the general population, or that academics are more likely to come from wealthier than average families. It is supposed to be bad that there are families in academia for more than one generation? Also, if you are trying to make money, academia is not the best of the genteel professions, so maybe you feel you can do it if you have more of a cushion, with wealthier parents. Probably if we were poorer my daughter would not feel the possibility of trying to be a classical musician.
A lot of things are "family businesses." I'm sure Wynton (or Branford) Marsalis had a head start with Ellis Marsalis as his father, vs. another person with non-musician parents. Joshua Redman's father was a also a jazz sax player, etc... Not to mention Mozart or Bach, Beethoven, etc... We just can't expect accomplishments to occur in a vacuum. Musicians emerge from a musical culture, not just from schooling.