By the way, the BBC itself states “The Corporation’s religion website states that it opts for the “religiously neutral” Common Era and Before Common Era, rather than Anno Domini (the year of Our Lord) and Before Christ” so you’re reasoning does not apply to this decision.
I don’t give a crap why the BBC is doing it, I’m explaining why BCE and CE have existed for 400 years, most of which were before there ever was a BBC. The fact remains that it’s more culturally neutral and a smarter way to discuss the time frame of events in a culture that didn’t even know who Christ was when the events occurred. Really you accidentally provide exactly the reason for it, AD is “year of our Lord”, which wasn’t necessarily their Lord. And it’s the common era because the archeologists, which are the people that do all this discussing, decided it was the common era.