From Fr. Richard Gill's letter below:
But anything the Holy See can do depends also on the willingness of the Legion to examine itself and work on its own problems.
History has shown that this is one of the many reasons for the downfall of the Legion: they are simply not capable of self examination (which is so much demanded of individual members) as an organization. They can never admit that they were wrong. That would violate the private vow, lived and enforced as much today as it was before being abolished by the Pope. (But they will tell you that they don't profess it any more. Big deal. They still enforce it.)