Completely misses the point. Someone from the BBC is disgraced. The BBC then erase all evidence of him from their history. Can you not see why that is problematic, and why if we accept it for Huw Edwards, it takes us down a very dangerous path?
Firstly, it opens the door for organisations to pretend their mistakes never happened.
Secondly, while most of us would agree that H.E. is a criminal who does not deserve airtime, it isn't always as clear cut with regard to people being made 'unpersons' for 'wrongthink'. I'm not going go give examples as I don't want to derail the thread with unrelated moral debates, but you don't have to look far for people who strongly divide opinion. Once you accept it's OK to erase people, the door is open for it to happen to anyone.
(Incidentally, I haven't watched an episode of Doctor Who since 1979, I am defending a principle, not a sci-fi series).