David played for Saul. It didn’t say he sang. It just said he played a stringed instrument.
And another thought. Can music be saved? Is there a salvation plan for music? No. People get saved, people are Christians. There is music that glorifies the Creator (Secular and CCM). The image of God is in every person for God created everyone that way. Some have experienced healing in Jesus some haven’t. That is why you hear music by people who aren’t a Christian (yet) that still honors God.