Martin, you describe what I call the "singer-songwhiner". However, I disagree when you say that they "could care less what their audience wants".   I believe that they truly believe audiences are interested in listening to their "therapy in song" sessions.

I have no problem with introspective songs, but there should be an element that the audience can relate too. The good writers can do that. Often singer-songwriters get so personal that they can leave an audience bewildered.