Earlier quoted context omitted.
Sounds like you've read the OkCupid blog post that used to be online, before Match decided to buy OkCupid and censor them.
They were censored? How is this even controversial? Females have a biological incentive to be more choosy than men as their reproductive investment is much higher -- it seems obvious that the result is rational from a biological perspective.
Only if you believe in the relatively modern human concept of two monogamous people being the only parents of a child.
Biologically speaking, a woman wants the sperm which will provide her the most survivable and resilient child, plus any number of other adults around who will help care for and protect that child.
This idea of a woman being choosy is a very new concept. You don't have to go back far in time at all to see where women had no choice at all (or look in some current cultures).
But if you go back further, or you go to places less touched by modern conventions, you find men and women of groups being generally sexual with each other, and being responsible for all the children in their group. This appears to be how humans survived and flourished for most of human history; or at least, it fits the existing evidence much better than the idea of a monogomous (and very 1:1 protective) couple.
Sure, if a woman knows she is only ever allowed to have one partner (and she's not allowed to be an equal participant in the world where income or resources are earned), she will choose the man more likely to guarantee that the basic survival needs are met or exceeded as much as possible. But she will still biologically seek the strongest, fittest, most genetically compatible and complementary man she can have sex with. From a modern human survival standpoint, this is the path of success.