drinking song vs song

drinking song and song both are nouns.

Word	Noun	Adjective	Verb	Adverb
drinking song	Yes	No	No	No
song	Yes	No	No	No

As nouns, song is a hypernym of drinking song; that is, song is a word with a broader meaning than drinking song:

drinking song: a song celebrating the joys of drinking; sung at drinking parties
song: a short musical composition with words

Other hypernyms of drinking song include vocal.

drinking song (noun)	song (noun)
a song celebrating the joys of drinking; sung at drinking parties	the act of singing
	a short musical composition with words
	the characteristic sound produced by a bird
	a distinctive or characteristic sound
	a very small sum