All kinds of bad things happen when the pitot system ices over. This is nothing new in aviation. In fact, this happened at Northwest Airlines in 1974 in Stone Point, NY. Here's the report:
http://aviation-safety.net/database/record.php?id=19741201-1 Here's the NTSB Report specifically citing airframe icing as a contributing factor in this accident:
http://libraryonline.erau.edu/online-full-text/ntsb/aircraft-accident-reports/AAR75-13.pdf
The Air Florida crash into the Potomac River in Washington, DC was caused by iced over engine instruments showing greater thrust than it actually was. Here's a summary:
http://en.wikipedia.org/wiki/Air_Florida_Flight_90
Since that point in time, newer designed aircraft had the pitot system and engine probes heated from the time of engine start.
Several points of information: The Airbus family of aircraft has autothrottles, but those throttles do not move from a climb detent position. In fact, if you disconnect the autothrottles, without matching up the throttle position, you will get either an increase in thrust or a decrease. Under normal operations, the throttles are moved only three times. 1) When takeoff power is applied. 2) when climb thrust is set at 1000' AGL. 3) In the landing flare, when the RADALT computer calls out "retard" to bring the throttles to idle.
When the pitot system is iced over, the airspeed indicator turns into an "altimeter" which will show higher and higher airspeed as you gain altitude. A pilot sees that climbing airspeed and pitches up to reduce airspeed, but at high altitudes, you can bring the aircraft into a deep stall. A deep stall at altitude can create a flat spin, for which there is no way out in a transport category aircraft. (That's what happened to the Northwest Crash in Stone Point, NY.)
In this specific accident, there is some information that the airplane encountered a very warm, humid core of rising air. The airplane had been cruising at 35,000 feet, with normal outside air temperatures of -54 degs. C. You can imagine what would happen if something so cold-soaked flew into warm, moist air. Instant ice all over the aircraft. FYI: the aircraft tail sections on most commercial aircraft do not have anti-icing capability. My point being, you are now a test pilot if you have instantly iced over at 35,000 feet.
Finally, there were a multitude of cauthions and warnings on this flight. When that happens, the lower ECAM shows each condition and subsequent sub system failures along with a corrective action. If there were warning upon warning, it would be easy to become overwhelmed.
The first action item in any emergency is to FLY THE AIRPLANE. One pilot must fly. Let the other pilot handle the emergency. That's why there are 2 pilots instead of one.
Finally, we wouldn't be talking about any of this had the crew elected to deviate around the thunderstorm activity. Why they chose to penetrate a line of weather baffles me to this day. I always deviate: there is never a delay when it comes to safety.
Sorry for the long post...
757 Guy