From the article: "Technically, campaigns do not need to receive explicit permission from the artist to use their work, but it should be noted that even if a politician has all the requisite legal permissions the artist can still sue the campaign. The author(s) could make a claim to their “Right of Publicity,” which is a legal protection many states give celebrities and artists. The right of publicity generally protects the use of someone’s name and likeness for commercial reasons. However, this right is not yet nationally recognized. On the federal level, the Lanham Act protects an artist’s trademark or brand by offering protection against false endorsement in which the use of an artist’s work can imply the artist’s support. Politicians and their campaigns also need to acquire proper licensing from the publisher, record label, and venue."
So, yes, the artist could sue to compel the campaign to cease and desist. It may depend on the state they're in, but there are situations where it could happen. I could see that. If I had a huge following as an artist of folks of all political stripes, why would I want my work associated with something that potentially would piss off half my fans? Even Michael Jordan understood that Republicans bought shoes, too.
Anyone can sue anyone for any reason in civil court... Legally if you paid th public performance fees you can use the music... Period. The artist can’t stop you... No more than Coke can stop you from drinking a Coke after you bought it because they don’t like the fact you are wearing a Pepsi shirt..
Republicans should have done what Trump has been doing since day one, pay the fees use the music and tell the artists to go pound sand.