proximity vs neck of the woods

proximity and neck of the woods both are nouns.

Word	Noun	Adjective	Verb	Adverb
proximity	Yes	No	No	No
neck of the woods	Yes	No	No	No

As nouns, neck of the woods is a hypernym of proximity; that is, neck of the woods is a word with a broader meaning than proximity:

Other hypernyms of proximity include locality, neighborhood, neighbourhood, vicinity.

proximity (noun)	neck of the woods (noun)
the property of being close together	a surrounding or nearby region
a Gestalt principle of organization holding that (other things being equal) objects or events that are near to one another (in space or time) are perceived as belonging together as a unit
the region close around a person or thing