loin of lamb vs cut of lamb

loin of lamb and cut of lamb both are nouns.

Word	Noun	Adjective	Verb	Adverb
loin of lamb	Yes	No	No	No
cut of lamb	Yes	No	No	No

As nouns, cut of lamb is a hypernym of loin of lamb; that is, cut of lamb is a word with a broader meaning than loin of lamb:

loin of lamb (noun)	cut of lamb (noun)
meat from a loin of lamb	cut of meat from a lamb