Quite aside from any security implications, which I'm sure someone better qualified than I to discuss them will outline (although the case against a radar feed in particular should be fairly obvious), why is it the job of pilots and ATCOs to provide entertainment to anyone who feels like listening in?
If I may play devil's advocate for a moment, how would an office worker feel about someone placing a microphone in their place of work and broadcasting their discussions with work colleagues and telephone conversations across the internet?
I'm sure there are many controllers who would revel in broadcasting to an attentive audience
, but I'm equally sure there are many of us who wouldn't want to come home at the end of a hard shift to find enthusiasts casting a critical eye over their day's performance on internet bulletin boards.