Maybe? The thing is, both ideas are problematic. And it’s more about traditionally masculine things being considered better or stronger than feminine ones and women being “better” for being “not like other girls.” I honestly cannot answer this. But misogyny seems to be a mainstay in nearly every culture… so probably not. Even if a woman is considered better for being domestic, that doesn’t mean domestic skills are considered as important or valued and it is still steeped in regressive gender roles. It’s not “women’s work” that is the problem in and of itself, it is a) considering it “women’s” work in the first place and b) considering it less “cool” or “valid” as, say, being able to change a tire.
Giving up your career is still a big red flag. A lot of women here are expected to, if not give up their career, still put family above that and also still be the primary caregiver, which is just as sexist.
I should note that women in America are still expected to take on the lion’s share of domestic work regardless of whether or not they work. And that just sucks. Maybe “not like other girls” isn’t as prevalent in the East, but 1) I can’t say for sure and 2) that doesn’t mean there aren’t a dozen other sexist attitudes to take its place. But you’re asking a gauche American. All I would really have to ask is: are such skills as valued in men as they are in women? If not… yeah, we still definitely have a problem.
Sad thing, too, because domestic skills are just… you know… being useful. We should just encourage everyone to be as useful as possible.