Maybe BA is considering a major expansion in China, where such filtering is commonplace

I remember being barred access to Yahoo and BBC sites when in Hong Kong.
While we're on the subject of BA lounges - maybe the new T1 LHR lounge needs a dimmer switch for the lighting - all those blazing spotlights are a bit harsh on first/last flight of the day. And as for the tape recordings of bird songs... purrrr-lease!