The answer is yes. There's a study out of the Canadian Centre for Policy Alternatives that quite clearly demonstrates the difference in access to universal child care in Quebec, with its $7-a-day program, versus what happens in the rest of the country, or in Toronto where I am, where it can cost as much as $1,600 a month.
When I lived in Quebec and taught at a CEGEP before that program started, I took home $20 a week after I paid for my two kids to be in child care. It makes a huge difference.
Also, there are studies in Quebec, as I'm sure you're familiar with, that show women's employment increased significantly and poverty levels among women went down with the introduction of the form of universal child care that Quebec has.