"Umm...but the BBC buy in a lot from independent production companies...thats why BakeOff is on Ch4 now."
Many of whom are BBC spin-offs/start-ups because the commercial TV lobbyists forced a break up of the BBC as being too big to compete against. Part of the knock on effect of this was to dumb down a lot of shows because now the owners licence them to the BBC but also want to sell, re-sell and sell some more to anyone they can elsewhere in the world. For the same reason, much of the "BBC" contents is gone from iPlayer after a short while because the BBC don't own them and the rights charges are high for on-demand.