And it takes time away from touring.Yes they get paid AFTRA fee plus song royalty, which is much bigger for TV play than radio. Plus anything else they might kick in.
But these people are multi-multi-millionaires who really don't care about money. The award shows pick up their airfare (private plane) and luxury hotels, and a lot of artists still avoid them. It means getting dressed up, hair & makeup, dealing with fans, and other annoyances.
A tip: if you want to see current "stars" at the Opry, go around Christmas. A lot of acts take a couple of weeks off and a lot are based near Nashville. They can do an Opry show without a lot of "travel" hassle.