milk bar vs snack counter

milk bar and snack counter both are nouns.

Word	Noun	Adjective	Verb	Adverb
milk bar	Yes	No	No	No
snack counter	Yes	No	No	No

As nouns, snack counter is a hypernym of milk bar; that is, snack counter is a word with a broader meaning than milk bar:

milk bar: snack bar that sells milk drinks and light refreshments (such as ice cream)
snack counter: usually inexpensive bar

Other hypernyms of milk bar include buffet, snack bar.

milk bar (noun)	snack counter (noun)
snack bar that sells milk drinks and light refreshments (such as ice cream)	usually inexpensive bar