That's the linchpin you see. The truth is that femininity and masculinity are a continuous spectrum of variation and almost all such statements tend to prescribe something or the other. To tell you the truth I fulfill the stereotype you are proposing in quite a few ways, but most women don't. Just as most males aren't the fist beating cavemen they are made out to be. Why can't we let people just be?
Why do we need to box them into little boxes, so that they conveniently fit into our tiny little realities? Why do we need to make statements like, it's tough to be a man/woman/american/indian/african american/whatever category you can come up with?
It is shocking just how ingrained this is into our consciousness and even though I can articulate it I still can't get it out of my head. I still box people in.
Look earlier women who had it in them to become scientists were told explicitly that they should become housewives. Take a look at Joan Feynman; her thesis adviser told her the only geometry she needed to learn was the geometry of the cobwebs she should be cleaning at home. Imagine what would have happened if she would have given up. We would have lost a great mind to something as abhorrent as prejudice.
The same lesson still exists. Let the kid be. Let her grow up into who she wants to be. Not who society thinks she ought to be. She will be depressed if you take the fight out of her so that you can squeeze her into a housewife. She will be depressed if you force her onto a stage against her wish. She will be depressed in all the cases where you push her into becoming something she isn't. I think that this is what you were trying to say.
On the other hand, what boggles my mind is why aren't more males taught to exit their boxes and give a hand in raising their kids. Raising a human being isn't a full time job if it's a shared responsibility and I think expecting anything other than that is just another small box.