Hello,
I think a "coffin corner" due to a sudden change in the air temperature is a strong possibility.
My question is not about what did make the flight fall.... is about why the AF crew didnīt avoid that CB (more than 35,000 feets tall), specially when an IB flight behind them requested a change of route to avoid this (and one could supose that the AF crew listened the request)...pilots use to avoid this areas.