no. Both - right for basic education and right for not being robbed/killed - are just guaranteed rights that the government is supposed to deliver upon.
>A school that has only profitability as it's goal will be outed as such in a free market, and will not be chosen by consumers that care more about their children's experience.
speaking about tired argument. To make your argument stronger you should have added some statement about "tricking down of good education from good school students to the students of bad schools".
Without going into how fast and effectively free market can out a bad school, i'll just note that basic education isn't object of consumption, it is a right of the children.