This may be of interest (or not):
Andrew Adonis: The loudest cheers I get in my Brexit public meetings, a bit to my surprise, are when I say: ‘it’s time for the BBC to once again become an impartial public broadcaster’.
Sunder Katwala: This could suggest one of two things: (1) growing pressure/scepticism at BBC; (2) v.narrow self-selection for Brexit rally attendees (not reflective of what most Remainers think of BBC). The evidence is that (1) is unlikely. 13% of remain voters saw BBC as pro-Brexit early this year. (14% saw it as pro-Remain). That niche may have grown to a slightly bigger minority of Remainers.
He was basing that on YouGov polling from February which found that 45% of Leave voters think the BBC is anti-Brexit but only 13% of Remain voters thought the BBC is pro-Brexit (yes, less than the Remain voters who agreed with that 45% of Leave voters about the anti-Brexit direction of the bias).