abstainer vs doer

abstainer and doer both are nouns.

Word	Noun	Adjective	Verb	Adverb
abstainer	Yes	No	No	No
doer	Yes	No	No	No

As nouns, doer is a hypernym of abstainer; that is, doer is a word with a broader meaning than abstainer:

Other hypernyms of abstainer include actor, worker.

abstainer (noun)	doer (noun)
a person who refrains from drinking intoxicating beverages	a person who acts and gets things done
someone who practices self denial as a spiritual discipline