Does this have to do with the absolution granted during confession? It sounds very much as if you're saying that whatever crime is committed, providing one confesses, one conscience can thus be cleared. Where is the bit about taking responsibility for one's own actions?
It has nothing to do with religion it has to do with human nature.
People who know someone is guilty but conceal their knowledge will often agonize over such. They often drink, do drugs or something else to cope with their guilt. Sometimes they will finally come forward after years because they can't take it anymore. This has to do with the guilt of keeping a secret when that secret is out you no longer still agonize over the decision to keep it secret. You no longer have to consider whether to continue to keep it a secret or not.
Confession is about recognizing your behavior was wrong, doing penance for it and pledging you will strive not to do it again. You are not absolved simply because you told a priest. You have to actually be sorry and say you will try not to do it again. If you just go confess the same sin over and over again without any earnest effort to change your ways it amounts to nothing.
During confession we say the Act of Contrition:
"O my God I am heartily sorry for having offended thee, and I detest all my sins because of your just punishments, but most of all because they offend you, my God, who are all good and deserving of all my love. I firmly resolve, with the help of your grace, to sin no more and to avoid the near occasion of sin."