BBC owned by the Government, that's a new one on me.
The BBC is funded by the public via the license fee, it has a charter to cater for all tastes (and that includes Sci-Fi fans).
The country's economic woes and the governments budget crisis doesn't have any impact on the BBC. (Though the BBC charter is coming up for review soon with the government, but at the end of the day I suspect a majority still support how the BBC is funded).
The BBC via it's subisderies earns millions from DW.