Over the years, we've actually had the "Would You Date Yourself?" question circulate a couple of times.
I can't speak for the author of this particular thread, but in the past, the real feeling being the question of "Would You Date Yourself?" actually meant things like:
* What are your own person qualities that someone would or would not want in someone to date?
* What things about yourself do you think make you "dateable," and what things about you need to be worked on?
And finally, the bottom line became this: "If you wouldn't want to date yourself, why would you expect anyone else to?"
It was meant as an inquiry of a brutally honest look into one's own qualities, rather than literally dating a clone of yourself.