Interesting point.
I have been down as a musician on my car insurance for over 40 years ( semi pro and pro ) ,and during that time have had companies change their stance on whether to insure musicians or not, sometimes to decide at a later date they do want my custom after all.
I was with the AA for a few years who then out of the blue hiked up my payment to a stupidly high amount, something like six times higher than usual. Think it was their way of saying they didn’t want to insure a musician , without actually refusing to cover me.
These days there are quite a few different choices when entering ‘musician’ in the occupation box. I’m down as one who plays ‘popular music’ , other options being classical, teacher and some more I can’t remember.