If the BBC edited a report that implied Trump explicitly incited violence on January 6, 2021, it did a poor job. Because it wasn't careful, and because it has given Trump the perfect pretext to talk about "fake media"
Obviously, Trump didn't say "Invade the Capitol by force and use violence if necessary," but everything was understood. It was understood so much that four protesters died (one shot by police, two from heart attacks, and one from an overdose), and four committed suicide (some shortly after the attack, others in the days and months that followed), not to mention the 140 police officers and dozens of congressional staffers injured.
The presidential staffer outside encouraged the protesters who had gathered on the National Mall to march to the Capitol and prevent the proclamation of the election results that gave the presidency to his rival, Joe Biden, with phrases like "Our country has said enough," "Stop the steal," or "We fight country," or he urged his vice president (and Senate president) Mike Pence not to accept the count.
In other words The claim that Trump sent the masses to storm the Capitol is much closer to the truth than any of the excuses he or his lawyers offered. More than being against the media, Trump is against the truth.
