Morris-ey -
It is their programme, so their choice whether they continue to commission it.

The BBC is not an investor directed commercial business. It is a public government broadcasting company funded almost exclusively by taxpayers. I would have thought that each of us has a say in what the BBC chooses to broadcast and in the way it presents British traditional culture.
I chose the music that I broadcast in the 27 years that I presented in a BBC local radio but the decisions that I made about what should or should not be included went far beyond my personal choice or taste. There were a myriad of other factors taken into consideration.