Dames is indeed a well-constructed piece that can work under most circumstances, but the very act of putting it on Broadway subverts the camp aspect of the show's humor and charm. Imagine it in 1966 in a ramshackle Off-Broadway theatre, in the days before home video, when the lines, situations, cliches and character names all were part of the show's knowing wink at the audience. The show also derives some of its appeal trying to be a big Warner Bros. style musical, but with a cast of six and a shoestring budget. That original production was also 14 years before there was a stage version of 42nd Street.
But what is an audience in 2015 or 2016 to make of references to Ruby Keeler, Dick Powell or Joan Blondell? A little Off-Broadway show trying to be a big Broadway show, but with only six people, is a funny idea. But putting it on Broadway, it just looked like an anemic version of 42nd Street, and the entire enterprise deflated like a balloon.
Begin at the beginning and go on till you come to the end: then stop.