Is proctor making up for previous sin by going to the gallows? is he really making a point by telling (taking) the truth to the grave?

As the play progresses, Proctor begins to experience a change of heart. He now feels that he should pay for his sins, and is no longer afraid of facing the responsibilities of his actions. He believes that facing death is a way to make up for previous sins. Therefore, his going to the gallows is a sign of redemption.The rest of the town wants him to sign a confession admitting his guilt, as others have done. However, Proctor refuses to do so. He tears up his confession and refuses to sacrifice his good name. Therefore, by going to the gallows without confessing to his sins (the true ones and the false ones), he is making a point. He is sacrificing himself. Proctor is killed, but he loses his life while standing up for himself.