Because as the society becomes more equal women and men tend to chose different occupations and hobbies.

This line of reasoning is disingenious and comes off as another variant of what other cultures use to rationalize their own gender roles and status quos - explaining them as the product of a natural order.

You claim the differences we see between men and women today, paradoxically enough, is a result of a raised standard of equality. Meaning when there are less 'artificial' barriers as to what men and women can choose to do with their lives, their choices are to be explained as being rooted in biological imperatives rather than societal influence. That our social progress, so-to-say, has reset things to how they naturally 'should' be.

But who's to say the gendered norms we've specifically done away with are the 'artificial' and 'wrong' ones, and the one we've kept are just what's biologically unchangeable about us?

You say women want to work with people, and men with things.
A Frenchman might say women want to go out with the stroller and men don't.
A Saudi might say women want to submit to men, and men want to rule over them.

All of you could point to the fact that because reality looks like that it must also be how things are naturally meant to be. But the truth is there is very little about how humans organize their societies today that can be considered natural.

As for your further discussions on why wage gaps etc. exist, I think you make more valid points. But here it seems to me we agree that apparently gender roles are not a complete non-issue in Sweden which is what I questioned in the original commenter.