There is no information of a message being sent out of a radar or any WX related failure. I'm sure that by now AF would have said so if they had it, cause then it would only help their cause. So for now I am disregarding anything to do with that idea.
It's interesting that spoilers are reported as failing in the last set of messages. This would suggest they were still intact till this time (and other things were not falling off). Personally the biggest hint lies with the Qantas/Unknown Airline events. These reports stated while the incorrect readings started the chain, the computers analysing them failed as well. While there maybe be three different types of computers, but they are all progamed to operate the same algurithims. So if there is a problem in thier reasoning, all three computers will act on it (which is was the Qantas incidents have showen). Turbulents can induce strange reading, and if these computers algurithims has some error in them or do not account for cirtain inputs, then it will create uninticapated outputs (like the systems turning off).