Interestingly in winter I often wear a beanie and people take a much longer look when greeting me while I have it on. I am not sure if it is because it forces them to focus more on my facial features for recognition or maybe they are trying to work out what my hair might look like underneath.
Regardless, losing hair and shaving my head did affect my attractiveness. Weirdly I think it also can be similar to the "grey-hair" effect where people attribute a sign of aging to greater experience and wisdom.
I wear a hat quite a bit now but it's more because I'm worried about the sun than anything else.
Hmmm... I shave my head and my experience with online dating is that it actually attracted women that love shaved heads.
Seinfeld fans will recognize the quote.