waiter vs counterperson

waiter and counterperson both are nouns.

Word	Noun	Adjective	Verb	Adverb
waiter	Yes	No	No	No
counterperson	Yes	No	No	No

As nouns, counterperson is a hyponym of waiter; that is, counterperson is a word with a more specific, narrower meaning than waiter:

Other hyponyms of waiter include carhop, sommelier, wine steward, wine waiter, waitress.

waiter (noun)	counterperson (noun)
a person whose occupation is to serve at table (as in a restaurant)	someone who attends a counter (as in a diner)
a person who waits or awaits