I laugh at people insisting there is an inherent left wing bias, when the person who oversees the impartiality within the BBC is Robbie Gibb, a career conservative who has worked extensively for Conservative ministers, led a consortium who owns the Jewish Chronicle (which apologised for publishing a load of false stories about Gaza), and was an editorial advisor for GB news. Those who worked with him at the BBC when he was in an editorial role in news and politics have been very frank about how he was only interested in running stories that suited his own political leanings (he supported Brexit and calls himself a Thatcherite).
Complaints have been made to him about right wing bias in the organisation but he refuses to deal with them, according to sources inside the BBC. It entirely suits his narrative to raise the profile of this particular error, which was likely down to an editor not making the timelapse obvious. It is laughable to suggest that a documentary shown 3 years after Trump made that speech, after there was an impeachment trial where witnesses confirmed they had acted on his encouragement when storming the Capitol, affected anyone’s opinion of him and misrepresented what actually happened on the night.
Regardless of your views of the BBC, the President of the United States bullying a news organisation is not something anyone should support. He has done the same with CNN, ABC, CBS, Wall Street Journal and the New York Times. Trying to influence the media in this way threatens democracy.
It is also worth noting the other news organisations who are leading this charge against the BBC, have much skin in the game. BBC is a huge competitor of theirs and they would love to see it brought down. It is widely regarded as the best broadcasting service in the world, by people who know way more about these things than I do. There are problems in the organisation, as there are in any global corporation, but letting the perfect be the enemy of the good and calling for the end of the BBC would be a pretty bad thing.