If we agree with the general consensus of another (now deleted) recent thread, all chessplayers are weirdos. This question is then like asking what all normal serial killers think of X, or what all normal kitten jugglers think of X.
If, on the other hand, I assume myself to be a normal chessplayer and relate my personal experiences to this question, I'd have to say that I'm most attracted to weird women, as that is the only kind I have ever dated. In a few cases it took some in-depth investigations to uncover the weirdness concealed by a veneer of normalcy, but the weirdness was always there.
Dumb? Attractive? A combination of both? Ambivalent?