I'm afraid you're right - looking at http://program.demokratikuskoalicio.hu/ it seems the plans for private health insurance abandoned in 2007 have been disinterred, on the basis of the current universal system being unaffordable - quite astonishing. Note the criticisms of the current system for unevenness of outcome, and then the apparently contradictory advocation of less regulation and private health insurers. And of course, this looks as if it's written by Feri himself. So that answers both questions.