This certainly goes for the traditional kind of BBC bias, which was unconscious, rooted in the unthinking assumptions of the producers. As a conservative (not Tory, never Tory) who loathes neoliberalism, I was in the unusual position of seeing it from both sides. The last BBC drama I can remember giving a conservative POV was
Lilies (created by Heidi Thomas, as it happens), which aired back in 2007, and was unceremoniously cancelled after one series.
The recent antics of BBC news are something else altogether, moving from lazy bias to straight-up propaganda, a concerted effort to distort the narrative in the government's favour. Enough to make me nostalgic for the old school Bloomsbury set assumptions. At least they allowed some subtlety, and weren't fully aware of what they were doing.