According to wikipedia, forgiveness is the mental and/or spiritual process of moving past feelings of resentment or anger against another person for some mistake they've made, or ceasing to demand some form of restitution or compensation.
We at Perfect Apology are agnostic about when and under what conditions people should accept an apology or forgive those responsible for hurting them—we certainly know how you should craft an apology to increase your chances of being forgiven, but we can't tell you when to accept an apology. These are very personal decisions that are never really open to useful advice or guidance.
For whatever reason, and despite delivering the perfect apology, some people are simply not prepared to forgive. But this fact should have no bearing whatsoever on whether one should take the time to craft a perfect apology. There are other reasons perfect apologies can help when working through a personal crisis.
For example, we often feel compelled to apologize when we've humiliated someone else, but occasionally we need to apologize to those we hurt because we are humiliated by what we've done. Remorseful and humiliating errors produce uncomfortable feelings and personal doubts about who we are. They create negative images that directly contradict the primarily positive impressions we have of ourselves. Serious mistakes that elicit strong feelings of remorse force us not only to question our own character but also raise doubts about whether we actually deserve to be forgiven in the first place.
Self-forgiveness—the process of accepting the inevitability of mistakes by refusing to let them define us—is an important first step, and a perfect apology can go a long way toward helping us deal with these personal crises. In fact, successful apologies occur most frequently when we first forgive ourselves for the mistakes we've made.
Regardless of whether we are forgiven by others for our mistakes, therefore, the act of apologizing—taking the time to craft an apology and suffering the consequences of delivering it—will help to re-establish a positive self image.
That's why it's so important to take the time to do it right, because partial apologies will compound the crisis when they fail. Short cuts lead to failures that often make things worse; they do very little to resolve the crisis and even less to improve your own self image or the image others have of you.
On the other hand, a perfect apology that works will go a long way toward generating the positive feedback we need to manage our personal crises and related feelings of remorse and humiliation. If people we hurt are prepared to forgive us by accepting the apology and moving past our mistake, the message they're sending is that they value the relationship and respect our character.
The point here is that whether or not an apology works, taking the time to do it right by making sure your message includes ALL of the ingredients of a perfect apology will pay off in the end. It's worth the investment.