While I read the article under discussion, concerning the pill and how it may be impacting women's choices of partners, and I was mildly discomfited by it, I was bemused by the fact that it seemed to factor out the other side of the story.
Women don't make relationships happen in a vacuum. We sort of require the cooperation of the attractive man in question, and presumably we also give off a distinctive scent that men are perfectly capable of forming an opinion on. How does this correllate into our mating and reproductive concerns.
That being said, I have also read some evidence that suggests men find women who are not on the pill, more attractive generally, than women who are on the pill.
Frankly, in light of the little information given thus far, I am not inclined to lend too much weight to these speculative conclusions. I know we are more susceptible to our biological imperitives than we are necessarily always aware of, but we are also conscious creatures who don't choose our mates solely based on scent.