We'd only expect to see wage equality if women had exactly the same job preferences as men, which empirically is absolutely not the case.

To whoever downvoted this, I'd be interested to see your sources showing that women do in fact have the same job preferences as men. Because every study I've seen shows that their career preferences differ. Or do you genuinely not understand that if women on average have a preferences for fields that pay less, they'll earn less on average?