prompter's box vs prompt box

prompter's box and prompt box both are nouns.

Word	Noun	Adjective	Verb	Adverb
prompter's box	Yes	No	No	No
prompt box	Yes	No	No	No

As nouns, prompter's box and prompt box are synonyms defined as:

prompter's box and prompt box: a booth projecting above the floor in the front of a stage where the prompter sits; opens toward the performers on stage

prompter's box (noun)	prompt box (noun)
a booth projecting above the floor in the front of a stage where the prompter sits; opens toward the performers on stage	a booth projecting above the floor in the front of a stage where the prompter sits; opens toward the performers on stage