That’s a ludicrous statement. Do you have any evidence whatsoever to back it up?
Evidence you'd accept, probably not, although you can simply observe the kinds of stories they choose to promote and arrive at a reasonable conclusion.
In other words, no.
Since the BBC is routinely and equally criticised for being both pro- and anti-Brexit, it’s reasonable to assume that it’s more likely to be neither.
OK, you have no evidence either so let's accept it's a point of opinion?
They didn't mention it in the article but I wouldn't be surprised if it crossed their mind.