The most recent figures I saw (pre-covid) were that less than 75% of mothers (not over 80%) with children under 18 were in the workforce - and it’s well known that covid was a disaster for mothers’ employment. Also, that percentage will be much lower for the mothers of nursery age children.
As for whether you’d get the out of work percentage into paid work if childcare were free, Save the Children reckons that if childcare were affordable, there are nearly 900,000 mothers who would rather be in some form of paid work. That’s around 50% of SAHMs. And unsurprisingly the percentage who’d rather be in paid work is even higher in deprived areas - if you’ve made your choice because your husband earns £200,000 pa and you simply don’t need to work and would rather be with your kids, that’s one thing; but if you’ve made your choice because using childcare and working will leave you substantially worse off than staying at home, that’s another.
Again, all I’m saying is that the ‘feminism is about choice’ narrative is superficial, because no choice is made in a vacuum. All our choices are made in the context of our patriarchal society. Unaffordable childcare is a feature of our patriarchal society.
It works in multiple ways though, to be clear I am absolutely not SAHM-bashing. I’ve been in paid work since becoming a mother and have made choices that have been influenced by patriarchal norms. For example, I wanted to go back four days a week after my first, but I decided to go back FT because I was the main earner by a long way and I believed (entirely correctly) that if, as a new mother, I went back to the organisation PT, I would be seen as uncommitted, ‘on the mummy track’ and passed over for opportunities and promotions. And what could be more patriarchal and misogynistic than the belief that a mother who works PT is a waste of professional space? My point is, my choice to go back FT wasn’t a free one. It was influenced by patriarchy and sexism. I saw the light pretty soon after and moved to a new job.
I just think it is important that all women think hard about what influences their choices.