I think discussions like these make progress, but very slow progress. I think the root of the issue for many people is more than factual at this point, it's become emotional for both sides. And I think progress will come when both sides can get a handle on their frustrations and then articulate their feelings gracefully.
At the end of the day, I think only a very small percentage of people commenting here care too much about what a new study finds. I don't think it will move many viewpoints.
So I think I'll propose a template for resolving this conflict (a longshot, I know).
Pursuit of agreement:
A) Do I want to understand the feelings of the people I'm talking to? If not, don't expect progress.
B) Do I want to understand my personal feelings? Do I recognize why this topic is emotional to me, why I'm spending my Thursday morning arguing this?
C) Do I see how tangential the connection is between my feelings and the article at hand?
D) Do I care about reaching a point of agreement, or is my motivation more around rewarding myself/punishing others?
E) Am I willing to describe my feelings/worries/motivations without using emotionally charged-words?
To paraphrase Data O'Briain, "zombies are at an all-time low but the fear of zombies could be incredibly high, doesn't mean we should have government policies to deal with the fear of zombies": https://www.youtube.com/watch?v=zopCDSK69gs
If we're getting meta, I think that the first thing that should be discussed is: What are we optimizing for, and how do we measure it?
Take a look at the article. How is someone who is concerned about sex differences in representation going to feel when they read, "Many academics in the modern world seem obsessed with the sex difference..."?
The article shoots itself in the foot in the first sentence. It's not going to change minds because it doesn't consider feelings.
Writing in a way that gets the facts right, and uses good arguments, and is worded in a way that doesn't turn off your opponents is hard. But it can be done. I think slatestarcodex.com often does it (though not always).