I always breathe a slight sigh of relief when a story with an angst tag starts out with the character mopey and suffering, because it usually means the story arc is going to carry them out of it. It's rare that a character will finish exactly as unhappy as they started, unless that's just what genre they're in to begin with.
The stories you really have to watch out for are the ones that start off superficially peaceful and happy. Then you're just asking for trouble.