want vs lech after

want is a noun but lech after is not a noun.

Word	Noun	Adjective	Verb	Adverb
want	Yes	No	Yes	No
lech after	No	No	Yes	No

As verbs, lech after is a hyponym of want; that is, lech after is a word with a more specific, narrower meaning than want:

want (noun)	lech after (noun)
a specific feeling of desire
anything that is necessary but lacking
a state of extreme poverty
the state of needing something that is absent or unavailable

want (verb)	lech after (verb)
wish or demand the presence of	have a strong sexual desire for
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