From what I've read, I wouldn't say it's only a matter of 3 guys sleeping for 100 seconds and crashing without using their fully serviceable engines.
It was three guys trying to do a good job; ATC trying to achieve efficient traffic flow and some piece of automation, installed to make landing safer, that failed them all. All indications are that the failure of the AT was unnoticeable till 770' and when the crew noticed (soon after) they took the appropriate decision to GA, losing control of the plane after selecting full power.
First question that pops up: Why did the PF lose control during the GA? Lack of specific training?
An important point to notice is that the technical failure crept upon the pilots... had they known about it at a higher altitude, they could have disabled the system and hand-flown the plane. While the fault in itself is pretty trivial, the chain of events lead to a fatal result. I think this accident raises interesting questions, looking at the man-machine interface... "Why did the throttle retract after a manual override?" is one of them.