I don't know anything about these two but your comparison strikes me as odd.
Maybe to you it's just an organization protecting itself from being smeared by the actions of some in their ranks. That much makes sense. Though honestly in this case I feel they had more to gain as an organization by booting them out immediately but I have no idea how integral they were to operations from before I was born through when I was in jr. high... I'm not even sure I could have told you what the BBC was in jr. high.

The outrage and scandal related to the church (in my opinion at least) has a lot more to do with betrayal of trust from those specifically tasked with teaching morality to those they abused.
Sadly, we accept that awful awful things happen to our fellow humans all the time. We accept that corruption thwarts justice all the time when those awful things happen. We try to root it out where we can but defeatism creeps in when faced with the scope of it at times.
What really gets people's blood boiling though is when you pair that with hypocrisy. When a "bad person" does "bad things" that's one thing. When a person who claimed to be good, and regularly condemned "bad people" and "bad things" then turns around and does those exact things, we can hardly contain our outrage.
I guess what I'm saying is don't expect the same level of outrage directed at the BBC, because it IS different. So I guess I can't give a counter example as I don't feel you have compared apples to apples.