@takata: Eh bien, you're right the timestamp of the ACARS message is not necessarily related to when the fault occurred. The sequence of events up to the ADR disagree message however would be conducive with a disabled pitot and the corresponding crew action such as manual AP OFF.
@chaz: You don't need that high a speed. The point is I don't know how fast a flat spinning A330 will descend. Any number between 7000 to 20000 ft/min sounds reasonable to me: If you assume FL350 to FL0 in 5 minutes, you just need 7000ft/min ROD. If you take the highest number I've seen (taken from someone elses calculations on the previous page, look for the diagram with velocity vectors), the numbers can still be plausible.
Hopefully we'll know for sure soon. I was just (for my own curiosity) trying to satisfy possible events between LKP and what we now know as the wreck position.