Freep, the neckline break determines whether the pattern is activating. Extending the line to the right allows a graphic representation of the neckline location so the break or back-test can be observed.
Since price does not go back in time, it is not necessary to extend the line back to the left in order to define your left shoulder. Nothing is served by extending the line to the left if it is a normal H&S top pattern. If it is a complex pattern, it is necessary because you have interaction at many points.