Interesting ! I feel generalizing is a way of reducing reality into words and meanings. I dont let it bother me really. (but I'm a guy so I assume things are different). I am a musician and where I am from it is not considered a valid profession. So being labeled musician can put you through stressful situations. But thats never stopped me from sharing my music. Let the world see your pies.
Interesting, I'd never considered musicianship as a correlate. In your experience, have you observed differences when women self identify as musicians?