moving staircase vs moving stairway

moving staircase and moving stairway both are nouns.

Word	Noun	Adjective	Verb	Adverb
moving staircase	Yes	No	No	No
moving stairway	Yes	No	No	No

As nouns, moving staircase and moving stairway are synonyms defined as:

moving staircase and moving stairway: a stairway whose steps move continuously on a circulating belt

Other synonyms of moving staircase include escalator.

moving staircase (noun)	moving stairway (noun)
a stairway whose steps move continuously on a circulating belt	a stairway whose steps move continuously on a circulating belt