IANAL but this typically comes down to the definition of broadcast and one could certainly argue that the officer's intent is to broadcast if they're playing it specifically because they know they're being recorded for public broadcast.
The officer is playing the music knowing that an attempt will be made to distribute the video, while hoping but not knowing for sure that the video will be blocked from distribution. The video could appear on one of many other sites that do a poorer job of screening media or that don't even attempt to do so.
