Well they will keep coming up on Top Charts and things because it is on the Top Charts. The Thumbs up / down is mainly for the radio. If you were listening to music from that Genre or close to it and his songs started popping up you could thumbs them down. It lets Google know for that radio station you do not want that on it.
Hmm alright. I do mainly listen to Listen Now and Top Charts.. it's just embarassing when I listen to it at work and a song from him comes on, I get all the looks like I'm a teeny bopper.