Not really. Private school students are still eligible, and they are not enrolled in public school. NYS seriously dislikes homeschoolers (we used to homeschool in NYS), and this is simply the next step in de facto outlawing the right, IMO.
I think there is a serious equal-protection case within this ruling.
Really, there’s not much difference between private and home schooled students in relation to public schools. Neither attend the the public school and both pay taxes. If private school students are eligible for these services, homeschool kids should be as well.
Private school students in California (and many other states) are not eligible for special ed services through the public schools.