First, the public had already heard it, so erasing it would only raise suspicions. Second, the song held deep sentimental value for him, making it impossible to discard. Perhaps that was precisely why Lucas had gambled on releasing the same track; he knew Logan would never let it go, especially for his debut.
Lucas thought he could step on Logan and use him as nothing more than a stepping stone to fame. Unfortunately for him, Logan was no longer the same helpless boy from the novel.
With Hera's guidance, Logan, together with the Music Director, secured patents for every song he composed, as long as there was solid evidence proving his authorship.