But if the reason is based on genes, then you cant really blame those girls as it is part of evolution and natural. If a girl drops a guy because she has been mentally conditioned by society that taller guys are better then i agree she is not worth it.
I mean can we really hold it against a person who (maybe only subconciously) is looking for good genes? its different compared to girls who want a bad boy, like the criminals who gets tons of love letters (criminal behavior doesnt suggest good genes, maybe it gives the impression of aggressive behavior and thus alpha genes, but it should be obvious to their instincts that simply being aggressive doesnt translate to being alpha)
Its similar as me wanting to marry a girl with a good looking face, because i want our children to be good looking too, if i found out a good looking girl had done lots of plastic surgery and that she was originally ugly, then i wouldnt be able to date her, because her new look isnt suggestive of her actual genes she will pass on.
Although height is slightly different since it is more affected by the environment/nutrition during the time you grow up, so even people with good genes for height can end up shorter than they should have been based on their genes. the facial features wont change depending on your nutrition during the growth, if anything just minimally.