If it is a revival, usually the choreographer will say the choreography was inspired by the original. Like for instance, the choreography in the Sweet Charity Revivial, was inspired by the original Fosse steps, but is totally different.
Usually though, either way, the choreographer will get the credit, because they are doing their job, which is to teach a dance.
"Love is stupid and it bleeds, it satisfies my needs, I think it's wonderful..." ~Bill Finn is God!