This is the so self-serving and self-congratulatory! He had the nerve to cry on her doorstep, which says he didn't want to apologize, but to be forgiven and to make a show of it.
Amending past wrongs is about showing up without any regard for your own feeling and the intention to do whatever is in your power to set the wrong aright. You admit the wrong and then you listen.
I get it that to the author this is some cute meta-story about "we were both wrong!" But truly acknowledging one's fault is antithetical to this kind of fawning over oneself and infantile moralizing.