cactus family vs Cactaceae

cactus family and Cactaceae both are nouns.

Word	Noun	Adjective	Verb	Adverb
cactus family	Yes	No	No	No
Cactaceae	Yes	No	No	No

As nouns, cactus family and Cactaceae are synonyms defined as:

Other synonyms of cactus family include family Cactaceae.

cactus family (noun)	Cactaceae (noun)
constituting the order Opuntiales	constituting the order Opuntiales