The BBC, like so many others, will absolutely maintain certain narratives from a left Orthodox view, particularly anything to do with sexism, racism or islamophobia.
They decide ahead of time who the victim and oppressor is, and quote only what works to support that hypothesis. There is still a pretense of impartiality, but that's all. There's a reason many classic liberal and alt types have adopted a policy of recording their own interviews and publishing them alongside any outlet featuring them.
It wasn't always so, if you look at articles from their archive of 10+ years ago, you find a much more balanced and neutral perspective.