While video cases are clearer cut, there’s still a danger of getting into trouble without directly doing anything wrong. The most notable example of this was the saga of Jackson Browne and the 2008 presidential bid by Sen. John McCain, R-Ariz., which used the song “Running on Empty” without the proper license (why you’d want to use that particular song, with its message of utterly spent energy, in your campaign is a mystery). Even though the senator had no knowledge or involvement in the creation or distribution of the offending video by the Ohio GOP, he got dragged through the mud and the Republican National Committee was forced to settle for an undisclosed sum of money.
More recently, artists have had the option to withdraw permission from political candidates who already obtained a blanket license to use their songs. During the 2012 campaign season, BMI created a separate license for “political entities or organizations” (ASCAP has its own version). It comes with a catch, in that it allows musicians to withdraw rights to a song for any reason.
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).