If the UK is banning Chinese 'State Media', the BBC is a pretty natural target for a clap back..
CNN: https://en.greatfire.org/https/www.cnn.com
Die Zeit: https://en.greatfire.org/https/www.zeit.de
Le Figaro: https://en.greatfire.org/https/www.lefigaro.fr
All currently accessible.
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.