The kavana is important. Someone can compose one piece as Jewish music and the next as something else. We heard David Amram on Conversations on Zoom and it was clear that he had selected his Jewish compositions for us to hear — in his case, they included Jewish text, or Jewish narrative, or motifs from Jewish folk music. There was no implication that his other compositions, and his jazz performing, are necessarily Jewish too just because he wrote them. I can certainly say this is true of my own song-writing and performing.