During the time that your child is going to daycare to get any kind of subsidy and that it isn't 100%. While that does make it more economically feasible for a single parent to work even if they have low income potential, it doesn't guarentee good care and make sense overall. For example, she might go to work taking care of someone else's children for almost the cost of her childcare, whether or not she or the taxpayer is footing the bill.
Part of the question is whether there is added value in taking care of your own child versus sending them to a daycare. I think that part of the issue that this article addresses is that middle class or rich women taking care of their children is seen as superior to daycare while a poor woman taking care of her own child is seen as inferior.
There are many different circumstances that might cause a woman to have a baby without a partner. Sometimes, it might have been a one night stand. Other times, the man might suddenly not want to be part of his baby's life. Other times, he might go to prison. Other times, he might die. Other times, he might be very poor himself and incapable of providing for a child. Do you suggest that a woman should be forced to give up her baby to a couple in better circumstances if she finds herself in one of these situations? Certainly there are things that could encourage a lower birthrate to women who are unable to support their children by themselves and don't have the father in their lives but there will always be will be women who find themselves in those circumstances.