I teach at an art university for 8 years now. I would highly doubt that: The most creative people are those who measure both high intelligence and low neuroticism.

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.

I think the idea that one must be naturally impervious to shame to be "the right sort" of creative is attractive, but it's used to disregard the courage necessary to show oneself and open up in the way that builds the creator.

Lots of amazing artists, creators and researchers are obviously highly neurotic.

I did not base my comment on personal observations. It comes straight from psychology and the big 5.

I was also once an art student myself. Creativity extends far beyond individual contributions, which becomes evident in resource and personnel management. Creativity is highly correlated to openness, as is intelligence, and is least restricted by those who are most eager to exercise decisions and try new things without fear of consequence, whether real or perceived.