Appealing to Good Intentions
I long ago quit accepting "good intentions" as an apology finding myself completely irked by what was obviously a defense and not an apology. I hadn't quite come to understand what precisely was happening when this kind of apology was being given...the "repair of their inner self-concept, not the mending of the feelings of those in their external world". It is so obvious once stated.
Keep in mind that one can receive or dish out any of these iterations of a non-apology without being a full-blown narcissist. Yes, a person who gives any of these non-apologies is certainly "narcissistically defended" at the moment they do this, but if the person you're dealing with consistently issues non-apologies then you have reason to suspect a malignant narcissist rather than just a momentarily defensive human-being.
Narcissistic Pathology of Everyday Life: The Denial of Remorse and Gratitude