"Daddy's Little Angel" is a little too perched up and pouty sounding for my tastes. Musically, I mean. It fits the fallen glamour queen archetype for the role that they went for with the musical adaptation, at least Sherie Rene Scott's version of the character.
From what I read, "I Want the Good Times Back" was Sherie's idea, as a more "go get em" kind of number rather than the woe-is-me mantra of "Wasting Away".
I don't WANT to live in what they call "a certain way." In the first place I'd be no good at it and besides that I don't want to be identified with any one class of people. I want to live every whichway, among all kinds---and know them---and understand them---and love them---THAT's what I want! - Philip Barry (Holiday)