hard right vs right wing

hard right and right wing both are nouns.

Word	Noun	Adjective	Verb	Adverb
hard right	Yes	No	No	No
right wing	Yes	No	No	No

As nouns, right wing is a hypernym of hard right; that is, right wing is a word with a broader meaning than hard right:

hard right: the extreme right wing
right wing: those who support political or social or economic conservatism; those who believe that things are better left unchanged

Other hypernyms of hard right include right.

hard right (noun)	right wing (noun)
the extreme right wing	those who support political or social or economic conservatism; those who believe that things are better left unchanged