I don't quite see the logic that commands that straight guys don't care about that.
Unless there is some deciding statistic that shows that women pay no attention to looks, including tan, while gay guys do.
I's also a matter of how you yourself want to look, personally I wouldn't want to be tanned so I'm quite happy to shun the sun. I also get sunburnt but the solution to that isn't being prepared from the solar salon, it's called sunscreen (fully blocking or bronzing effect, whichever floats your boat).







