That's different. They have actual standards of acceptance.
They are public schools (and to quote you) period.
You went to BS?
For those who are interested in such things, New York City's public schools are about 20% white. This is considerably more than Chicago (about 6%) and Houston (6% as well). If you take away Staten Island and the Honors high schools, I'm sure the percentage would be similar.
Of course, I could also show you a few private schools where most of the attendees are "people of color" and the parents care about their children's education. NOBODY WITH ANY SENSE would send their kids through the PS system.