Sky TV is in no way "formerly the BBC".
Wrong way round. Once the Tories have finished with the BBC it'll likely be owned by one of the Murdoch dynasty.
"the BBC is well known to have a left wing leaning"
That might have been the case in the days when the BBC made stuff like Cathy Come Home or Boys from the Blackstuff, and when they made documentaries (other than nature documentaries) that were actually worth watching. I believe at one point they even had that Trotskyite economist JKGalbraith (senior) do a series. That was all a very very very long time ago.
Its recent financial and political correspondents/editors/presenters are in no way left wing.
During the reign of Marcus Agius on the BBC board, Barclays were often in the news, often not in a good way (e.g. tax dodging scandals reported in some depth in all the mainstream papers including the Telegraph and even the Sun). Not a word on the BBC. Odd that.
Biting the hand that feeds IT
