The main premises here is that "rights" should only...
Free, universal health care is an illegitimate "positive" right
The main premises here is that "rights" should only protect individuals from harm from others and allow them certain freedoms, but a right to universal health care entails individuals burdening other members of society (possibly violating the liberties of innocents) for things that are perceived as needed or desirable. The extreme of this argument is the circumstance in which a careless smoker is given the "right" to burden others for their expensive health care costs.