I think you misunderstand. Wages may have stayed the same because there are twice as many people competing for jobs, compared to times when women were socially discouraged from working.
Labor gets cheaper, i.e. people are paid less, when there are more people competing for jobs. Supply and demand just like any other market.
Are you a parent?
I thought this should be obvious, but it seems women want to be like men and suffer through the generally horribly competitive, generally meaningless, and often monotonous drab of having a “career” in some goal of chasing an ever higher number on a direct deposit every two weeks. Why? Why not have the obviously much more fun, relaxed life of being a stay at home mother and be there as your child grows into an adult and builds their own unique personality?
Haven’t there been lots of studies showing women’s self reported happiness declining in recent decades? Specifically those who pursue these cutthroat executive positions dominated by pyschopathic, aggressive men working 80 hour weeks? Why would anyone be jealous of this lifestyle?
Nobody wants to work 80 hour weeks. Women's rights is about not having your gender be a basis of disqualification for anything. If a woman wants to work the same miserable demanding job a man works, she should have every right to. Her gender should not be a disqualifier for a job.
Your argument for why wouldn't a mother want to stay at home and be with her kids could just as easily be applied to any father.