Hooray Henry vs adult male

Hooray Henry and adult male both are nouns.

Word	Noun	Adjective	Verb	Adverb
Hooray Henry	Yes	No	No	No
adult male	Yes	No	No	No

As nouns, adult male is a hypernym of Hooray Henry; that is, adult male is a word with a broader meaning than Hooray Henry:

Other hypernyms of Hooray Henry include man.

Hooray Henry (noun)	adult male (noun)
a lively and ineffectual upper-class young man	an adult person who is male (as opposed to a woman)