lust vs want

lust and want both are nouns.

Word	Noun	Adjective	Verb	Adverb
lust	Yes	No	Yes	No
want	Yes	No	Yes	No

As verbs, want is a hypernym of lust; that is, want is a word with a broader meaning than lust:

Other hypernyms of lust include desire.

lust (noun)	want (noun)
self-indulgent sexual desire (personified as one of the deadly sins)	a specific feeling of desire
a strong sexual desire	anything that is necessary but lacking
	a state of extreme poverty
	the state of needing something that is absent or unavailable

lust (verb)	want (verb)
have a craving, appetite, or great desire for	wish or demand the presence of
	have need of
	hunt or look for; want for a particular reason
	feel or have a desire for; want strongly
	be without, lack; be deficient in