Actually, from what I've witnessed, women on the shorter end of the height spectrum are the
most picky, with average height being 2nd most picky, and taller women being the least picky.
I heard someone say that it's because shorter-to-average height women are more "desirable" for a lot of men, so shorter-to-average women are used to being able to get taller guys - they're spoiled, basically.
Taller women on the other hand know that if they're too picky with the height of the guys they date, they won't have a lot of options
(and perhaps they know what it's like to be dismissed due to their height, and know personally that it doesn't really matter), so they're more open to dating men shorter than them. And I agree with both theories.
But at least the men who refuse to date taller women make it obvious that they aren't the kind of person you'd wanna date, anyway.

Guys who're caught up on women's height are probably also the same kind of guys who are controlling, and potentially abusive.
(Because again, shorter women are typically weaker than taller women. Therefore taller women are harder for them to control)