lyrist vs writer

lyrist and writer both are nouns.

Word	Noun	Adjective	Verb	Adverb
lyrist	Yes	No	No	No
writer	Yes	No	No	No

As nouns, writer is a hypernym of lyrist; that is, writer is a word with a broader meaning than lyrist:

lyrist: a person who writes the words for songs
writer: writes (books or stories or articles or the like) professionally (for pay)

Other hypernyms of lyrist include author.

lyrist (noun)	writer (noun)
a person who writes the words for songs	writes (books or stories or articles or the like) professionally (for pay)
	a person who is able to write and has written something