I haven't flown any Airbus FBW nor have I got any appreciable knowledge of the flight control logic, according to what I gather from the media and some posts on the AF330 Thread, there have been discussion about the ACARS sending "electrical fault" message, in this case, would the fault degrade the flight control system so much as to the crew lost the flight envelope protection?
As Gengis said we all need more information as to the sequence of events etc. However, for your information the flight controls will reconfigure with two or more related failures, for example two ADR failures etc. would put the aircraft in Alternate law which would remove the protections.
The "electrical fault" ACARS message quoted would have more information attached which we are not privy to yet unless we have "good and reliable authority" feeding us the information....