"to a tidy little button that many users will never even realize is clickable." -- Are you sure this is the case? The way UI design is moving currently, users h

"to a tidy little button that many users will never even realize is clickable." -- Are you sure this is the case? The way UI design is moving currently, users have become more expectant of subtle cues (i.e. iOS 7). I would bet that someone who wanted the URL would click the URL-shortened button.