hatchet job vs disparagement

hatchet job and disparagement both are nouns.

Word	Noun	Adjective	Verb	Adverb
hatchet job	Yes	No	No	No
disparagement	Yes	No	No	No

As nouns, disparagement is a hypernym of hatchet job; that is, disparagement is a word with a broader meaning than hatchet job:

hatchet job: a false accusation of an offense or a malicious misrepresentation of someone's words or actions
disparagement: a communication that belittles somebody or something

Other hypernyms of hatchet job include depreciation, derogation.

hatchet job (noun)	disparagement (noun)
a false accusation of an offense or a malicious misrepresentation of someone's words or actions	the act of speaking contemptuously of
	a communication that belittles somebody or something