Are most nudists also exhibitionists?

I got into a debate with a friend about this topic recently. I think it really depends on your definition of exhibitionism. - If you take the stance that to be an exhibitionist you get sexual gratification from exposing your genitals or attempt to shock an unsuspecting stranger with your nudity, I believe most nudists are NOT also exhibitionists. - if you believe exhibitionist enjoy being naked with others socially/privately and much of the enjoyment is being seen naked by others, then I believe most nudists ARE also exhibitionists. It's the case with me and I feel most on this site would agree. We enjoy being naked and will do it regardless of whether anyone else is around. However, we enjoy it more when we are around others and are seen by them. Agree or disagree?