You cannot let a distorted account stand, including one that would flatter you. When you replay a disagreement you look for what you actually did, not what you meant, and that is rarer than it sounds.
It makes you the person others want in the room when something has gone wrong. It also makes you slower to forgive, because forgiving before the account is straight feels to you like agreeing to a lie.
Justice holds scales and a sword. The sword is not for winning. Precision is the point, and precision applied to yourself is the harder half.