It doesn't. You still need someone to commute to where the daycare is because they don't live there, transaction costs related to payment processing, and that's often illegal if you do it for money because of zoning ordinances etc.

Those facilities also often don't qualify for subsidies like this because it allows all the people doing it themselves to claim the subsidy. Either you take care of your own kids as before but sign up as a daycare that only your own kids attend to get the subsidy yourself, or you find someone else who takes care of their own kids and then each sign up to watch the other's kids when you each actually watch your own. And you rightfully should be able to get the subsidy if you're doing it yourself, except that then it gets a lot more attractive to actually stay at home, which the government doesn't like because it makes the program more expensive and corporations hate because it reduces supply in the labor market.