The article is not arguing against universal health care, it is arguing against the terrible state of employment for university teachers. You know, it is possible for more than one thing to be wrong in society at once.
The implicit premise of the article is that university professors shouldn’t be brushing up against the floor of society. That’s odious. The societal baseline must be adequate, and the tragedy here is that it’s not. But nobody is intrinsically entitled to a better life than the baseline just because of their education.