I don't buy that. If we use the example of height alone, the vast majority of women would not date a man shorter than them regardless of whether the man has a "likable personality". https://www.youtube.com/watch?v=ZbG05ePWRQE
Fortunately women’s height shows a normal distribution, as well as it’s not like many 150 cm women would date a guy well above 2m.
(Sorry, don’t know freedom units)
"How about actually having a likable personality, which easily tops all other qualities?"
So do you now agree this statement is obviously false?
Height is just one of the first filters women use, and often the requirement is more strict than just "taller than me". You also have to pass other commons filters. Another very important filter for most women is race, and we're just getting started.