you can't claim music as your own just because the artist is no longer active. you're wise to show the playlist
Where did he claim it was his own? Admittedly, credit where it's due but if I discovered a goldmine I'd be tempted to defer releasing the name so it isn't 'old' by the time I wanted to draw from it again.
Once you had the name did you go and buy the CD or download and steal the artist's intellectual property?