leak vs come forth

leak is a noun but come forth is not a noun.

Word	Noun	Adjective	Verb	Adverb
leak	Yes	No	Yes	No
come forth	No	No	Yes	No

As verbs, come forth is a hypernym of leak; that is, come forth is a word with a broader meaning than leak:

Other hypernyms of leak include come out, egress, emerge, go forth, issue.

leak (noun)	come forth (noun)
unauthorized (especially deliberate) disclosure of confidential information
the discharge of a fluid from some container
an accidental hole that allows something (fluid or light etc.) to enter or escape
a euphemism for urination
soft watery rot in fruits and vegetables caused by fungi

leak (verb)	come forth (verb)
have an opening that allows light or substances to enter or go out	come out of
enter or escape as through a hole or crack or fissure	happen or occur as a result of something
tell anonymously
be leaked