GM, Alas it doesn’t appear that you know what a ‘natural experiment’ is, or even what the phrase means. The issue is not the absence of sexism (legal or otherwise) in Norway, Canada, or Rwanda. The issue is whether Canada and Norway have less sexism (legal or otherwise) versus Rwanda and whether less sexism produces less sexual differentiation in occupations or more.
Feminist theory predicts less sexual differentiation in occupations, in more equal societies. The Damore model predicts more sexual differentiation in occupations, in more equal societies. The facts are trivial. Damore wins. You and feminists lose.
Note that societies don’t have to be sexually equal for this analysis to have logical power. All they have to do is to have differing levels of sexual equality.
For better or worse (clearly worse) you are arguing that Rwanda is a paradise of sexual equality and Canada is a sexually repressive dystopia.
Good luck with that one. Stick to “The Sun Orbits the Earth and You are Fired”. Way more PC.