I understood it as it would "pay for itself" in increased tax revenue in the future as the children who had access to better child care become more productive citizens. That sounds like how any other investment works, you pay now for a better situation in the future.
If you argue that you don't want to pay now because you won't benefit in the future because you'll be dead, I assume you're not willing to support any other investments either. That sounds like you're just freeloading on the investments that our ancestors made.