home court vs basketball court

home court and basketball court both are nouns.

Word	Noun	Adjective	Verb	Adverb
home court	Yes	No	No	No
basketball court	Yes	No	No	No

As nouns, basketball court is a hypernym of home court; that is, basketball court is a word with a broader meaning than home court:

home court (noun)	basketball court (noun)
(basketball) the court where the host team plays its home games	the court on which basketball is played