Initially, what I meant by a critique of right-wing ideas is that the Harrison Bergeron character can be read as a Randian fantasy of a great being held back by socialist busybodies. I doubt a right-winger would much identify with the government as parodied, even if I fully concur that they have their own share of oppressive norms and that the notion of the left having the monopoly of restrictions is absurd.
The story itself is pretty light on discussing any specific norm (other than maybe gender, but I think that just wasn't on the author's radar), whether economic or social, but it does tackle the general sense of 'master' vs. 'slave' morality as described by Nietzsche, which is somewhat perpendicular to the left-right spectrum and shows up at both of its ends. Harrison is parodied as the extreme 'master' who justifies seizing power as a natural birthright deriving from his absurd set of qualities, and the government is parodied as the extreme form of 'slave' morality where nothing counts beyond the good intentions of people and any form of competence is seen as dangerous and unfair.
The story itself is pretty light on discussing any specific norm (other than maybe gender, but I think that just wasn't on the author's radar), whether economic or social, but it does tackle the general sense of 'master' vs. 'slave' morality as described by Nietzsche, which is somewhat perpendicular to the left-right spectrum and shows up at both of its ends. Harrison is parodied as the extreme 'master' who justifies seizing power as a natural birthright deriving from his absurd set of qualities, and the government is parodied as the extreme form of 'slave' morality where nothing counts beyond the good intentions of people and any form of competence is seen as dangerous and unfair.