Bars and restaurants and convention centers and retail stores pay a general fee - I believe yearly - to license most music that is heard in their locations whether as Muzak or karaoke or jukebox or piano-bar/club singing. That license *usually* doesn't extend to re-broadcast. They can't film a nightclub act and show it on TV without paying extended royalties because the ASCAP is only for public performance at a venue, not re-broadcast where they're going to make money from playing the music.
I'd guess if Trumph is using their own soundsystem/DJ they would need to have their own license, or it may be covered if the venue has one.
I could imagine though that the artists could singly revoke a public figure's right to use their music as a "signature" tune, however, especially if it happens to be playing at a rally on TV.
These can be very specific. I know some video-games when re-released (such as Grand Theft Auto which uses actual current music) have to change the music because it wasn't licensed for a separate release. Youtube has also done takedowns of videos where a song just happened to be playing in the background - even by no fault of the person recording. I saw some Coachella videos where they had to mute whenever music was playing in the background and do voice-overs and subtitles because they didn't have the right to use the music in a monetized video.
News sources may have to do the same - if they have a live reporter talking and Aerosmith is playing in the background, that might count as a "performance broadcast" of a song which is associated with the event.