cover song vs recording

cover song and recording both are nouns.

Word	Noun	Adjective	Verb	Adverb
cover song	Yes	No	No	No
recording	Yes	No	No	No

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

cover song: a recording of a song that was first recorded or made popular by somebody else
recording: a storage device on which information (sounds or images) have been recorded

cover song (noun)	recording (noun)
a recording of a song that was first recorded or made popular by somebody else	the act of making a record (especially an audio record)
	a signal that encodes something (e.g., picture or sound) that has been recorded
	a storage device on which information (sounds or images) have been recorded