Well as another user has pointed out BBC has been banned since May 2018 https://en.greatfire.org/https/www.bbc.com. I don't know why Chinese companies/media outlets expect the same freedoms as everyone else when foreign companies and media outlets have practically none in China.
So I think you are being overconfident in your assessment of the situation for foreign media outlets in China. Some are blocked, some are not.
I also disagree with your suggestion that Chinese media shouldn't expect the same freedoms as everyone else just because China doesn't guarantee freedom of the press. There's no reason to copy them in that regard.