Edmund......This is not new, before the Air Caraibis incident my Airline had a similar thing occur over the South China sea in an A330. They had their pitot probes ice up from super cooled water and they then had all the same things happen.
AP A/THR dropped out
Simultaneous overspeed AND under speed warnings
Alternate Law
Etc etc
They were initial hung out to dry but the union proved the Radar was at fault and the crew hadn't actually exceeded any limitations.
So, the Airline changed the Radars on all the 330's and changed the Pitot tubes to the newer model.
This is not a new thing..
Someone should find the Air Caraibes guys, interview them, and figure out why they were able to deal calmly and well with an issue that killed the AF guys; that should allow improvement of training.