> But women do prefer as tall a man as they can get
That doesn't seem to be what the study says:
> women are most satisfied when their partner was 21 cm taller
Same as with breasts there's a drop off at some point, it's just that in the case of height it's relative. And from personal experience, I have been rejected repeatedly for being too tall, as in the difference between myself and the prospective partner was deemed too high (~30cm or more). Beyond a point that height difference just highlights the shortness of the woman and women already have it harder when it comes to expectation of looks.
I think it's reasonably obvious by now that women historically had (and still do) a far higher pressure put on them when it comes to looks in general, just not very focused on height. This is how as a society we ended up having women wearing makeup almost as standard, dying or removing their hair, wearing pushup bras, or high heels (less related to height but rather relative position of the pelvis). And that's before the more invasive procedures like breast implants, botox, face lifts, or other surgeries.