However that's a semantic argument. The major question is whether or not it is a threat to private home education (or homeschooing if you will.) I think when we increase educational choices, it strengthens the ability for parents to choose private home education.
The public school system has two main arguments against homeschooling: 1) the kids need to be in an institution for socialization, and 2) the kids need the benefits of the curriculum and the expertise of a state-certified teacher. By supporting public home education, they have conceded point #1, reducing them only to argue the second point. I think they have weakened their position, not strengthened it.