I agree. I don't even know how the government is encouraging women in couples financially to stay in work.
I think there are two issues here. Firstly, it's about supporting low paid families with children. Secondly, it's about supporting women to stay in work/go back to work.
Girls outperform boys in schools; there are more female undergraduates than males; women and men in their twenties have approximately equal incomes. It's not until women start having children that inequality kicks in.
Once women take a career break, they become de-skilled and find it difficult to get back into a job at the same seniority and at the same pay.
There are, of course, women who deliberately choose jobs which fit around childcare, but there's a problem if they find themselves separated or bereaved.
The biggest group of people living in poverty are single parents, mainly in their thirties or forties and mainly women. Research has shown that men generally recover from separation/divorce financially more easily than women, probably because they usually don't have to work around childcare, but also because they have worked continuously.
The above has implications for the tax credits paid to single parents and also for the pensions they are able to build up. Therefore, saving money by not supporting women to remain in work could have a financial price further down the line.
However, it's not just about the money. I believe that women should have the same opportunities as men. I also believe they have the same responsibilities, which means ensuring that they are capable of supporting themselves and their children on their own, should the need arise.