I think you are falling into the same problem as Damore did. You are thinking people are digesting the whole article like a research paper rather than considering small bits, just the title, or even second-hand summaries.
Saying "women make bad engineers" is inflammatory and incorrect. That's the sentiment people quickly parse because basically "tl;dr". Saying "the educational system and society in general sets the stage for women on average to not succeed in science fields as well as men" is far more correct, most women in science would agree, and not exactly flashy as "we don't employ women because women are bad at science and math". If the reader gets even that far, a lot of people are going to write off anything further.
Damore said that women biologically were inferior at science, that's what I am reading second-hand so might _also_ be filtered through a lens already. That sentiment is pretty insane and ignores the huge effect of socialization on who we become. There have been no conclusive studies that female and male brains are structurally different. What that leaves, in my opinion, is a difference in socialization and what women tend to be told they are good at or pushed towards.
Sorry, not trying to start an argument at all. I am always a little baffled by science-y types ignoring that most people aren't interested in reading dissertations randomly handed off to them. People, in my opinion, are going to read 3 sentences then make up their minds whether they agree with your premise.
