The author of the piece in a part later than that in the excerpt posted her ask, "What is “right-wing” about wanting government bureaucrats to just leave us the hell alone?"
The answer is that "right-wing" has no meaning more coherent than "opposed to the Left", meaning at any given time the normative Left of the day. This fact, that "right-wing" had no coherent meaning is the origin of the use by the Left of "fascist" and "Nazi" as essentially meaningless pejoratives for those opposed to them. When the normative Left was defined by the Comintern, even deviations from Stalin's party doctrines were all called "right wing" and lumped together. Trotsky was a "fascist". And, of course, the Nazis (who created a statist economy supposedly for the benefit of German workers, rather than "the workers of the world") and the Fascists, were therefore "right-wing" along with monarchists, Tories, adherent of the American Constitutional order, clericalists, or nationalist of any sort no aligned with Moscow.
As the Left wants government bureaucrats to dictate minute aspects of our lives, opposing this is "right-wing".