When Ken Ludwig and Mike Ockrent and Susan Stroman created a show out of the bones of GIRL CRAZY, they had the good sense (?) to give it the title of a Madonna song. :-)
When you refer to the 2011 Anything Goes revival, you really mean the 1987 revival on which it, in turn, was based. You also didn't mention that a good deal of the original score was cut for the 1962 version - and then all of those songs (minus "Where Are The Men") were restored in 1987. So at least there was some attempt to honor the original songs, even if the arrangements were different and even more songs were added on top of that.