We've run the experiment, recorded the data, observed the results, and Western civilization can now confidently report back to history that there is not a single societal advantage to women's suffrage. The consequences for fertility, mental health, public solvency, comity of the sexes, societal cohesion, are all disastrous.
Aristophanes warned us. He thought it was a joke. For over two thousand years everyone understood it was a joke. Well, now we know.