like many have already said forgiveness is about freeing yourself from the heavy burden of anger and resentfulness . as for the other person, saying "I'm sorry" seems to be a self-serving action directed at ending their feeling of guilt and and being loved once more. what I find even more insignificant is when people insist on how bad they feel !! as if them feeling bad is suposed to be some kind of comfort to me, as if i'm some evil-hearted person who will answer " good, it brings me great satidfaction that you are feeling bad". I say instead of saying sorry or describing how bad you feel how about doing something to repair the situation. I often joke and say "instead of telling me you feel bad, do something that will actually be useful for me to feel good, like give me money or something 🤣😂"