Public funding for private schools

While I don't agree with the Greens on much (for the record I think they're a petit bourgeois party, who are more interested in feel good policies than genuine social change) this recent piece on the ABC is absolutely shocking.

Private school funding from the public purse is one of the most disgraceful populist policies floating around. When public schools are chronically underfunded it is disgusting to see elite private schools receiving government subsidies. The secondary private sector receives more public funding than the entire public tertiary sector.

I'm not saying that there is no room for diversity in schools, or that parents shouldn't be able to choose a private or religious education for their children. However, to see wealthy private schools receiving billions of dollars, while public schools are falling apart at the seams is shameful, expecially given the majority of children in Australia still attend a public school.

Why isn't Labor following the Greens' example in exposing this hypocrisy?