As far as I know, there is no other test of concurrency of wants between sexes,

As far as I know, there is no other test of concurrency of wants between sexes, classes, and regions than the market for votes – whether individual, proportional, or economic. Conversely there are insufficient tests of the limits on amendments, legislation, regulation, and command. And there may be insufficient insurance of the court’s decisions by the military, militia, and people in defense of rule of law.
What you’re saying (and yes you’re a good person Tom) is that you don’t know how to solve the problem. Yet, we have plenty of evidence of how to solve the problem. We just experiment and learn from each experiment. And as I stated in my previous response, our current experiment with wider participation, wider participation without a separate house, and especially participation with women without a separate house for them, has been a failure.