lyricist vs writer

lyricist and writer both are nouns.

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

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

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

Other hypernyms of lyricist include author.

lyricist (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