There are plenty of examples of airlines that have gone to the wall after fatal accidents.
Yep! But there are also airlines that have gone to the wall without fatal accidents and some that thrived even after reuniting hundreds of their fare paying customers with their maker. Without being too cynical, it's possible to conclude that with sufficient cash reserves and enough spin doctoring, it's possible for airline to survive the aftermath of a fatal accident.
But I just wish no one, ever puts this theory to test.