Empirically speaking, women voting without separate houses for men and women, has been the failing of liberalism.
The monarchy (state), nobility (regions), commons (businessmen), could have been expanded to the proletarian( working classes ) and the homemaker(women), and we could have continued the anglo saxon tradition of using houses to form a market between the classes.
Democracy has failed worldwide because women have narrower interests and vote more consistently in blocks, and by destroying the family women have destroyed western civilization: our central unit of production of generations, production of norms and traditions, production of commons, and production of goods and services.
It’s just empirical. Look at the voting history. There would never have been anything ‘left’ in this country nor its decline had women had their own house.