>>7
What is wrong with the argument is the confusing way in which they put it across, not that it is so out of the ordinary.
The workforce needs to be educated to be productive, so public schools are a means of production in a way. If you were to judge the world by their school systems alone it might well be indistinguishable from a socialist world, which would also presumably have public schools.
Only sith deals in absolutes, we should describe the means of production as being part public and part private, as it is, as opposed to naming things as though they are part of an entirely public system (socialist) or an entirely private system (anarcho-capitalist).