Anyone who thinks the BBC is unbiased should revisit their coverage of Brexit. They seemed genuinely gobsmacked that people ignored them and voted Leave.
As were 73% of the population
It's why the BBC finds it difficult not to be biased - a pole of the various staff in any BBC newsroom would likely find that 80%/90% were remainers.
I think a poll of the entire UK would probably find that 80-90% think it was a mistake. Merely reflecting the views of the majority.