Historically there has been some of both. Even in the west there have been substantial social factors that have delayed adoption and the labor force participati

Historically there has been some of both. Even in the west there have been substantial social factors that have delayed adoption and the labor force participation rate for women is much lower than that for men. Doubling is an exaggeration, at least if the long term stable point is nearly all of both genders working it clearly takes a lot longer than 100 years to get there. I'd argue that in more traditional cultures than the west the social factors that push women away from work are even more extreme. So it doesn't take a society outright banning it to prevent a lot of it. It takes social change to make it happen in many cases. I do agree the technological development is a precursor but that technology has been available for a long time now and shouldn't be the bottleneck in many cases.