It's my job (I'm a private music tutor).
But I have worked in other places and other roles. My experience doing extra-curricular music, helped me to develop:
- timekeeping skills (be there 10min before rehearsal).
- organisation (practise schedule, getting to rehearsals).
- independent learning skills.
- teamwork (ensemble playing).
- leadership skills (first chair violinist and director of school orchestra).
- listening skills and ability to follow instructions.
It also provided me with an outlet for self-expression, helped me to develop emotional maturity (an area I've found difficult), and more or less kept me sane.
Most of those 'soft skills' were also developed through other extra-curricular activities, especially as a guide. I'm now involved, slightly, in a traditional scouting movement with a strong faith element, the "Guides and Scouts of Europe". Scouting is excellent for building character.
Doing extra-curricular activities helped me to make friends, when I was a kid, who were older/younger than me (in some cases by around 60 years!) and who went to different schools, were more or less privileged, etc. I was introduced to business skills through quartet playing and gigging from around 14yo.
I still play in local orchestras and while most of the music teachers are involved, other players are medics, nurses, secretaries, accountants, stay-at-home parents etc. There's a huge mix.