I have encountered this analogy irl. I was pretty drunk and said something distasteful to a friend. She ended our friendship over it and caused the group we were in to split into factions. We tried talking it over, but after I made all efforts I could to apologise, she responded with the plate analogy.
Honestly I thinks its a bad position to take. People have wronged me too over the years. Forgiving them, regardless of them apologising or not, is, in my experience, the better option for yourself.
The hate you carry with you if you don't doesn't do anything to them, but it eats you up from the inside. Forgiving somebody frees you from that. It's not about forgetting what people have done to you (and maybe choosing not to keep them in your life depending on how bad it was that they did), it's about not carrying the hate with you trough the years.