The chart doesn't show that. The chart shows that in surveys, women and men answer a survey with different average baselines for what "average" means. That's interesting, but it fundamentally tells you about how men and women answer surveys, not how they are attracted to the opposite gender.
What tells you their actual attraction is revealed preference: Who they date, and who they message. And the same OKCupid data source shows that women do message the same men they rate as "below average", whereas men actually overwhelmingly message the most attractive women. So right off the bat, this isn't a promising start: The author has interpreted the result backwards.
> translate this plot to IQ, and you have a world where the women thing 58 percent of men are brain damaged
No, it doesn't. It translates into a world where the women obviously do not act like they think this, and thus via revealed preferences, clearly do not think this. (But where the men do...)
> I began by wondering if a simple statistical model
Garbage in, garbage out. If you're reading the chart upside down, you're simple statistic model won't apply very well to real life.
Edit: According to the same data source OP is using "2/3 of male messages go to the top 1/3 of women" where women messages to men follow a much flatter response curve, with a peak right around the median. See https://theblog.okcupid.com/your-looks-and-your-inbox-8715c0... In my view, that conclusively undermines OP's premise.