Yes, but that plane crashed when it ran out of fuel, this plane did not. Also, the autopilot would have kept the plane on course which is not consistent with the decrease in altitude and the crash into the mountain.
1. Flying at the 38,000 feet, the A320 suddenly experiences a major loss of cabin air pressure.
2. The flight crew--probably in violation of policy of having at least one crew member wearing an oxygen mask--started to lose consciousness and tried to start an emergency descent.
3. Since they lost consciousness within 15-20 seconds, the plane did nose down but not enough to do a truly rapid emergency descent--it looked like a normal rate of descent.
4. With the crew incapacitated, the plane with its "normal" rate of descent essentially did a prefect controlled flight into terrain (CFIT) crash, crashing into that mountainside in southern France.