Those stereotypes are considered sexist, so they no longer apply today
Look into support groups for stay at home dads if you think they no longer apply. They do. Likewise, men still get the raw end in custody because of gender stereotypes and norms.
Traditionally, yes. But those sexist traditions do not apply today
Ever hear of the restaurant Hooters?
This has nothing to do with culture. When gender is based on your thoughts, even people within the same culture will not agree on gender when you separate if from biology because each person within a given culture will still have different thoughts. Again; where is the meaning?
And by the way; there is no such a thing as a third or fourth sex. According to science, all humans are mammals, and all mammals are either male or female; this is the case regardless if you are dog, cat, or human.
But people do agree like we do with language amd the many signs that navigate through our day. It's something fascinating about the brain is we are wired for eachother. And out of this grows a number of universal or near universal features of human culture, but despite this universality how these things are expressed and communicated are not universal.
Like how many consider there to be a more manly way to talk and a more feminine way to talk. With language absolutely nothing universal about it other than we are typically and normally born with an insatiable urge and desire and will to absorb it starting on our first day of birth. The words we use, the cases and articles, there's nothing universal about them, there's nothing making it actually existing outside our head. But we have language rules and grammar and norms anyways, and one universal is a taboo against cussing, which is generally thought of as more ok for men than women, but only in certain situations. There's absolutely no rhyme or reason to this, we do it just because it's how we evolved as social animals. There's nothing that makes a word like **** offensive except at some point it was decided so amd now it gets censored, just as there's no rhyme or reason the word is considered unladylike for a female to use it.
This stuff al being based on thoughts and feelings and social consensus makes none of it meaningless. To the contrary it's a part of what makes being humans so profound and amazing. We do stuff like this, amd we don't even generally ever think about it. How is tjat meaningless?