And of course capitalism still needs women to do all the reproductive work of the home.
No it doesn't. I'm sure there is a residual cultural issue of men expecting women to do all the home and kiddie stuff, but that has nothing to do with capitalism. It did, and this is why. Lots of very onerous manual labour once needed to be done - mining, drilling, lifting big steel girders - the kind of thing that was most effectively done by men with their greater upper body strength. Capitalism depended on men to do this. And it also depended on women to take care of the home and raise the children while the blokes were out working. Furthermore, pre-globalisation and before more advanced technological warfare, nation states were vulnerable to invasion and had to be defended with standing armies. There was also a British Empire which needed lots of soldiers to rape, pillage, enslave massacre their way through Africa and the sub-continent as we well know. Let's not get nostalgic about those days eh.
Anyway, western economies are now de-industrialised and de-militarised. More women might be in the home, but to personify capitalism - it could not give a fuck if the primary carer is man woman or dog so long as people open a Facebook account, take out lots of loans, get into lots of debt, give up all their data, pay exorbitant rents and buy loads of shit they don't need made by ten year old sweat shop workers and robots in Indonesia.
Capitalism does not need the nuclear family anymore. At all. That's why it promotes casual sex, gives people websites to help them cheat on their partners, and basically does everything it can to destroy the family unit.
Dating websites would not make lots of money if people got married and stayed married.