elocutionist vs public speaker

elocutionist and public speaker both are nouns.

Word	Noun	Adjective	Verb	Adverb
elocutionist	Yes	No	No	No
public speaker	Yes	No	No	No

As nouns, public speaker is a hypernym of elocutionist; that is, public speaker is a word with a broader meaning than elocutionist:

elocutionist: a public speaker trained in voice production and gesture and delivery
public speaker: a person who delivers a speech or oration

Other hypernyms of elocutionist include orator, rhetorician, speechifier, speechmaker.

elocutionist (noun)	public speaker (noun)
a public speaker trained in voice production and gesture and delivery	a person who delivers a speech or oration