Communist vs political leader

Communist and political leader both are nouns.

Word	Noun	Adjective	Verb	Adverb
Communist	Yes	No	No	No
political leader	Yes	No	No	No

As nouns, political leader is a hypernym of Communist; that is, political leader is a word with a broader meaning than Communist:

Other hypernyms of Communist include pol, politician, politico.

Communist (noun)	political leader (noun)
a member of the communist party	a person active in party politics