If men really have it better or easier if a woman has the chance to be a man wouldn't she logically take it?

Gleaning the info from Fluther and other sources it appears more women then men believe that men have it easier or better in life. Men are usually in control, they call the shots, rule the household, get paid more, don’t suffer abuse as much, don’t have periods, etc, why if a woman found a lamp on the beach with a genie in it who would make them wake up a man they wouldn’t do it? I mean if you thought being rich was better than being poor and you were poor would you turn down a windfall of cash? If men really do have it better then logically women would want to be a member of that club, right?