I do think it is pro-establishment but as a remainer I was exasperated by both the outsized presence Mr Farage got on BBC programming and also the uncritical nature of the coverage of the post-Brexit negotations and treatment of dissenting MPs, so I am not convinced at all the BBC had a particularly pro-EU position.

I think you could argue it had a sort of pro-Cameron lean to it for a while simply because he initially positioned himself as quite a boring centrist, but I don't believe there was any policy alignment generally.

Less sure re: the scottish independence vote but I think in that case the BBC was sort of paralysed by what the outcome would mean for it, and that may have made it difficult for it to comprehensively handle.