It's no more lame than any other reason - such as a man only wanting to date women less than 200 pounds, a 40-year-old woman that that rejects anyone over 30 as being too old for her, a woman that only wants to date men, a woman that only wants to date women, a non-smoking woman that won't date a smoker, and, lamest of all, a woman that only wants to date people that aren't me.
People usually like to date people that have similar interests to them.
I, for one, probably wouldn't date a woman that rides a motorcycle, or a woman that doesn't like hiking in the mountains, or a woman that doesn't know how to use slide rules (admittedly, that last tends to seriously limit my dating life).