Wasn't "Send In The Clowns" at least considered for Frederik?
Not quite in that way. The plan was that there was to be a song of some sort for Fredrik in that scene. As the story goes, Sondheim watched Prince working with Johns and Cariou on the existing scene, then went away to work on creating the song. He came in the next day with the new song - apologizing to Cariou that it would be for her instead of him. ;-)
