Not sure if its already been discussed (probably) but what about the scenario that because they were flying a NPA, if they were flying it in approach mode and then performed the GA at just below minima (or the very unfortunate millisecond time window after minima) that the engines go to full power but you don't go into GA mode. The thing just spears on towards the ground until you take over. One of the holes lining up?
Someone mentioned a while back that this airline wasn't cleared to fly managed approaches though so I imagine they would have been in raw data so should not have had this problem?!?