no-count vs no-account

no-count is not a noun while no-account is a noun.

Word	Noun	Adjective	Verb	Adverb
no-count	No	Yes	No	No
no-account	Yes	Yes	No	No

As adjectives, no-count and no-account are synonyms defined as:

Other synonyms of no-count include good-for-naught, good-for-nothing, meritless, no-good, sorry.

no-count (noun)	no-account (noun)
	an idle worthless person

no-count (adjective)	no-account (adjective)
without merit; of little or no value or use	without merit; of little or no value or use