Does it really top all other qualities? Doesn't seem to be the case. There's evidence showing personality is only considered after a minimum threshold of physical attractiveness is met.
https://link.springer.com/article/10.1007/s40806-017-0092-x
> But in-person the initial “not-as-good-looks” can very easily be overcome if one is kind, honest, funny, etc.
Attractive people are perceived as nicer, funnier, kinder, more honest, more intelligent, etc.
https://www.gwern.net/docs/psychology/okcupid/weexperimenton...
https://www.sciencedirect.com/science/article/abs/pii/S01918...
You can work out and get into shape, you can have good hygiene, you can dress nicely, etc. Just because someone is luckier and doesn’t really have to pay attention to what he/she eats to get a good figure doesn’t mean that others can’t achieve that, although with more work.
Also, the face itself is much more important for men than women.
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.