Using a song in a video is a totally different situation. The BMI /ASCAP separate license is not the blanket music license for venues. The BMI /ASCAP separate license is for situations where a blanket license to a music collection is granted directly to a political party or politican (or a non-venue entity that further licenses directly to the politician or party).
Since the musicians were so enraged when Trump played (and kept playing) their music then why didn't they sue Trump to get lots of money. After all the guy has billions. Oh wait... the musicians didn't have a legal leg to stand on.
Trump stops playing thier music and starts starts stealing from others.(While claiming it was his choice of course)
Read and educate yourself - https://futureofmusic.org/article/fact-sheet/political-campaigns-and-music-licensing
Because the settlement amount will surely be less than court costs, especially since the political events aren't turning a profit. You make it sound like winning a court case against the executive would be a walk in the park with a counter stacked supreme Court.
Yeah... you forgot the part stating -- "If, however, the campaign has indeed obtained a blanket license to play the music, you probably don’t have legal grounds to stop them from playing the music or a legal basis for a cease & desist order based on copyright infringement." All your link does is outline three other ways musicians can try to stop the playing of their music by politicians -- as noted by many others none of them work.