genus Paris vs plant genus

genus Paris and plant genus both are nouns.

Word	Noun	Adjective	Verb	Adverb
genus Paris	Yes	No	No	No
plant genus	Yes	No	No	No

As nouns, plant genus is a hypernym of genus Paris; that is, plant genus is a word with a broader meaning than genus Paris:

genus Paris (noun)	plant genus (noun)
sometimes placed in subfamily Trilliaceae	a genus of plants