The BBC is not being stupid, and yes it's the same for any broadcaster. When music is aired – whatever it is, even someone singing Happy Birthday – the music should be logged and the returns sent to PRS. Whoever wrote and performed the track then gets paid. As I said in the other thread no one has done anything wrong and in fact it's all in the open – Chris Moyles is the name on the PRS logs. The same applies for the likes of IQBeats/JAM/Steve England etc etc.