In my experience that isn't the complete picture. I have met highly creative people who are extremely (unhealthy so) concerned with what others think, yet go their own path anyways. It is true that creative people often tend to do things in a way that appears as if it is outside of the frame of normal parameters. But this isn't so simple either, because maybe it is context dependent. A punk musician may live in disregard of the aesthetical conventions of society, but they also may have a traded canon of styles and works their own subculture. So maybe that punk doesn't care what society thinks about them, but they may care about what other punks think.

My experience with hundreds of art students is that there is no correlation between how independent someone works and how creative their output is. There are many ways of producing interesting ideas and the lone (usually: male) genius being the only true way is by this point a well-refuted idea.