down-and-out vs have-not

down-and-out and have-not both are nouns.

Word	Noun	Adjective	Verb	Adverb
down-and-out	Yes	Yes	No	No
have-not	Yes	No	No	No

As nouns, have-not is a hypernym of down-and-out; that is, have-not is a word with a broader meaning than down-and-out:

Other hypernyms of down-and-out include poor person.

down-and-out (noun)	have-not (noun)
a person who is destitute	a person with few or no possessions

down-and-out (adjective)	have-not (adjective)
lacking resources (or any prospect of resources)