For radio broadcast, Royalties are paid to the owner of the music through BMI and ASCAP. Until sold, the Royalty checks go to the composers of the music, and the artists get Schitt. If a publisher purchases the Royalty from the songwriters, then that becomes the injured party if Royalties aren't paid. I do not know the status of the ownership of REM's music.
Bottom line, a member of the band can't do squat about it. It's likely the big-mouthed drummer has zero say.