Yes, I think it is to be honest.
We can't currently get rid of income related benefits because huge numbers of children growing up in poverty doesn't do anyone any favours either, and we need to maintain our birthrate because we have an ageing population - proportionally speaking most people can't afford to have children without help but we need them to have them!
The are only 2 ways to solve it - 1 is higher more equal wages for everyone.
The current reason we have women SAHP for financial reasons is high cost of living and uneven incomes between spouses.
Because if the man is earning more than the woman (literally just enough to pay the bills and feed and clothe everyone) and the woman's wage is less than childcare cost will be, then the woman going to work will leave the family with not enough to live on. Additionally, if she is not working they Mau receive a small amount of tax credits, if she is working they probably won't (assuming fairly average wages)
Now if the family go on to have several children the family get caught in a trap - the higher the cost of their childcare becomes and the more they receive because she is not working and their income is low.
Long term, the woman will find it harder to earn more due to her gap in cv.
There's another loop in terms of trying to limit benefits for non-working families, and saying you will only pay their living costs while they have a child under X age - the problem you have here is the harsher you make the rule (under universal credit it's under 1yo) the more motivation there is for someone who is really determined/afraid of working to have another baby in quick succession! With the obvious long term disadvantages for the mother.
The problem with trying to make the system really harsh and 'incentivise' working by cutting benefits is that women are inevitably left worse off and suffering.
The alternative is that if wages were much higher and everyone working could afford to fund their own families comfortably on one wage, with more men and women earning similar amounts (so that an additional wage minus childcare is still always always positive money)
The other option is I actually read a really good argument for a single universal payment to everyone regardless of income is that it gives those who need it help without incentivising behavior that helps or is the only option short-term but not helpful long-term.