Let me honest with you, it was definitely a huge part of the professional I became.
Curtsamba, my band, performed at venues for 1K, 5K, 10K... and even 30K people! Definitelly I am not afraid of public speaking or presenting ideas to strangers. Lots to thank to my time as a former musician.
Why did I quit then? Well, I've been always very self-aware of my skills, and singing or playing instruments were not good ones. So, I tried, I practiced but at the end of the day, I never felt I was really good at it. I didn't have the gift I guess.
Also, I always loved math and logical exercises... I felt like music couldn't give to me.