I think what this thread shows is that many people are wedded to the 'girls and boys are different, they just are' claim and no actual facts will convince them otherwise.
There's been research where babies were dressed in blue, or pink. Adults treated the same baby very differently when it was dressed in a gender-stereotyped colour. They were gentle and cuddly with the babies they believed were girls and far rougher with boys, and made claims about how the baby displayed gender stereotypical behaviour.
Even if you explain that 100 years ago, pink was 'for boys' and blue 'for girls' so clearly a liking for pink is not an innate gender difference. There are still scientists trying to prove it is. There was a study a couple of years ago 'proving' this and claiming it was down to girls collecting berries in hunter-gatherer societies. Clearly they hadn't noticed that berries aren't pink (and not all red either) and hadn't bothered doing any desk research to see if pink had always been associated with femininity.
Isn't that a striking example of gender stereotyping - that scientists who are meant to do proper unbiased research are so conditioned by society they didn't bother to check their initial assumption, but went out and found what they claimed was evidence to confirm it? (In Edwardian times, pink was thought to be boyish as it was regarded as a pale red and therefore associated with aggression and male traits, blue was girlish because it was a calm colour.)
People will notice traits that confirm their prejudices and ignore those that don't. They will encourage girls to do X and boys to do Y right from birth. And then claim all this social conditioning proves girls are like this and boys are like that.
The problem is that seeing the world through this gender lens confines and restricts children. It means girls are discouraged from being scientists, even if they have a natural flair in that direction. And boys are discouraged from going into childcare even if they have a natural talent for it.