Your analysis seems good to me, but I think it is too optimistic, and this takes away its objectivity, they make it seem that problems are small and always have a solution, they are generalizing something as complex as the cause that led a person to revenge, which They make it seem so simple and by making it seem that way they also imply that forgiveness is something that anyone who has suffered can achieve, which in my opinion is incorrect.
I’ll give you an example: a person suffers the kidnapping and murder of a child. How could a person forgive the person who caused them so much suffering?
Although I think it is a good analysis, I think they should emphasize that it could only apply to cases where the grievance is not very serious.
I recommend an anime series called “Jigoku Shojo” that gives us a lot to reflect on revenge. It is about a “supernatural” girl who helps people take revenge on those who made them suffer, sending them to hell in exchange for the fact that once the person who requested revenge dies, her soul will go to hell too. This series shows us many examples where forgiveness is not viable, I will give you an example: in one case a girl is kidnapped, raped, murdered by a man who hides the corpse, they never find the girl, nor the culprit, and the story It focuses on the older sister, how she experiences the process of destroying her family while searching for her sister, and debates sending the culprit to hell even without knowing him. How can you forgive when you don’t know what really happened or the culprit? and the forgiveness process dictates that you must accept what happened?