SW
They outsourced broadcast because the main role of the BBC is to be a programme maker. They will not sell off programme making departments. Who would buy BBC Sport? How would that even work?
It's perfect logic to split the BBC in half like they have. The day will come when the licence fee is no more and it makes it far easier to deal with if things are not all in the same boat. They made no issue of outsourcing all the broadcast facilities to Red Bee, who's to say the BBC haven't considered tendering BBC Sport or other departments out to private companies to run.
They outsourced broadcast because the main role of the BBC is to be a programme maker. They will not sell off programme making departments. Who would buy BBC Sport? How would that even work?