“Chazal many times refers to women as ביתו (first mishna of yuma and many other places), and it teaches us that women are the house, meaning they take care of the house. ”
no it doesn’t. How do people make up ignorant comments and then post them as information? The women is Beiso because she is the home, not because she is supposed to stay in the home. And if you want the ACTUAL definition of what it means for a woman to be the home, go ask someone reliable to teach it to you instead of making up stupidities to misrepresent Torah values.