alliterator vs writer

alliterator and writer both are nouns.

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

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

alliterator: a speaker or writer who makes use of alliteration
writer: writes (books or stories or articles or the like) professionally (for pay)

Other hypernyms of alliterator include speaker, talker, utterer, verbaliser, verbalizer, author.

alliterator (noun)	writer (noun)
a speaker or writer who makes use of alliteration	writes (books or stories or articles or the like) professionally (for pay)
	a person who is able to write and has written something