public executioner vs executioner

public executioner and executioner both are nouns.

Word	Noun	Adjective	Verb	Adverb
public executioner	Yes	No	No	No
executioner	Yes	No	No	No

As nouns, public executioner and executioner are synonyms defined as:

public executioner and executioner: an official who inflicts capital punishment in pursuit of a warrant

public executioner (noun)	executioner (noun)
an official who inflicts capital punishment in pursuit of a warrant	an official who inflicts capital punishment in pursuit of a warrant