"The world divides into two: those who believe a gender pay gap exists, and those who don't."
There are actually several camps.
A) Those who incorrectly believe that women are paid less than men for the same work (probably due to poor reporting on the issue by the media)
B) Those who are aware that women on average earn less than men over the course of their careers/lifetimes, and believe this is because of patriarchy/discrimination.
C) Those who are aware that women on average earn less than men over the course of their careers/lifetimes, and believe this is because men and women are different and make different choices.
You can then divide Camp C) between those who believe male/female differences are because of nature vs nurture.
Of course it's not so black and white to say these differences are either 100% nature or 100% nurture, neither should be disregarded.
The nature evidence suggests women are more interested in people, men are more interested in things. Hence why more women do nursing, teaching, caring professions.
There is also plenty of evidence that suggests that the personality differences between the sexes and the gender gap in professions GETS BIGGER as a society becomes more equal
"In other words, in prosperous and egalitarian countries, people are free to pursue their respective career interests. Since men and women are innately different, they pursue different vocations based on dissimilar interests. Therefore, equal representation is an inaccurate measure of gender egalitarianism, simply because in egalitarian countries, gender gaps are the most robust."
quillette.com/2017/07/15/time-stop-worrying-first-world-gender-gaps/
This was also reflected in the Nordic Countries, those that are recognised as pursuing gender equality more than anywhere else in the world - their gender gaps only got bigger.
This Norwegian documentary on the Nordic Gender Equality Paradox is excellent, as is the entire series. Each episode discusses a different aspect of nature vs nurture and speaks to both gender/social scientists as well as traditional sciences