This still sounds like more than ‘just’ a stylist to me.
I wouldn’t mind being called a stylist if that was the job I was hired to do. As I’m an industrial designer (and expected to do more than just styling) I feel that when people see me as a stylist they do not fully appreciate what it is I actually do and I am offended (even if it might be down to ignorance on their behalf).*
*This is in a professional setting where I expect people to know better. People I meet in other settings who don’t really know, or I would expect to know, what ID is don’t offend me if they mix it up.