It goes a bit deeper than that. The name of the company who owned NBC until 1986 was the once gigantic but now defunct RADIO CORPORATION of AMERICA. NBC itself didn’t own one radio station, but at least 20 (and that was after they had split some of the off years earlier).
Basically, the song is a middle finger to the company that was broadcasting it, even if it was a pretty mild statement in the greater scheme of things. NBC was all for dangerous comedy…you know, when it wasn’t about THEM.