the airplane is perfectly fine to continue flying for a while on one engine so their momentary shock should not have been an issue. they've trained extensively for this kind of scenario and should probably have gone around if the bird strike happened on final approach. like the other person said... the voice recorder almost certainly survived and will give more information as to the root cause.
It may have been both engines out and there was not enough time to turn on the APU for landing gear deployment. The belly landing was executed just fine but tragically it was the wall at the end of the runway.
it wasn't the wall that got them actually it was the poorly designed ILS embankment that should have been ground level. but yeah you're right it is somewhat probable that it was two engines out as the evidence comes in
