I have a problem with what the priest says here: "I am a musician who happens to be a priest." That's just wrong. I myself had been a drummer in a rock band for years. And sometimes I play the drums even now. But priesthood is 100% of my life. Drumming is 0.0000000000000001% of my life.
No. He is a priest, who should happen to play music on occasion. As for the particular music he is playing, that is yet another question.