Do you think when people say men are supposed to have certain qualities they mean the other way around for women?

I remember what my aunt repeatedly said to my little cousin in the past when he was crying. “Are you a man or not?”, which I think is an odd way to calm one’s child. That is, of course, not the only gender normative phrases I’ve witnessed in the past. I have also heard “Men don’t go back on their own words”, “Be a man!” (Often said to a man when he is afraid to do something), “As a man you’re the head of the family”, “As a man you have to…”, etc.

When people said those things do you personally think that they mean it’s the contrary/okay for women to not have such quality? Do they believe that it’s an acceptable norm for women to cry, tell lies/not fulfilling promise, not do something they’re afraid of, etc? How would you feel when these things are done to you or your family members? Have you ever said such things yourself?