Socialist states should just start calling them editorially independent while being the ultimate appointers of the leadership who decide that "editing".

With a structure like the current BBC (minus the BBC Trust that used to regulate it) the organisation becomes a mouthpiece of the state by virtue of being filled top to bottom with ideologically chosen people and a leadership carrying out a specific mission.

I am leaning towards the argument that the defining thing that matters is whether it is under proletarian or bourgeoise control. Under proletarian control the BBC would become a mouthpiece of the proletarian state within 5 years of reorganisation from the top down.

The argument socialists have against doing this kind of thing is that the capitalist world would still claim it's state-controlled, but I see very little reason not to do at least to expose bullshit when there are no downsides given the outcome would likely not be different to the existing orgs.