Saloni Dattani, another brain researcher, points out there are strong measures of gender-based brain development and that Rippon (mentioned in OP article) appears ideologically biased to assert that the brain is "unisex." Dattani's podcast with Julia Galef on this is worth listening to: http://rationallyspeakingpodcast.org/show/rs-239-saloni-datt.... It is pretty meta and doesn't fall strongly on one side, but it does dissect the lack of objectivity in the greater discussion.
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https://unherd.com/2019/08/the-truth-about-the-female-brain/
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https://unherd.com/2019/08/the-truth-about-the-female-brain/
This review by Saloni Dattani tells exactly the issues I've had with Gina Rippons book, The gendered brain. The introduction goes into detail on how a lot of statistical analysis is prone to biases and massaging of data etc. It is fairly comprehensive. But after that, the section where the author makes her case, she puts forth a lot of studies without going into why these studies are robust compared to the other studies she criticised in the introduction. It's pretty hard to just take her word for it especially when you have been primed to look for issues in studies after finishing the introduction