My understanding is that the "AP Disconnect/alternate law" message preceded the later string of system failures. If correct then the indication is some sort of "upset" or turbulence induced unusual attitude prior to other issues...or am I misreading the information available. Based on the early comments by AF it seems in line with the picture of an upset followed by various system failures indicating some type of catastrophic failure.
If a sudden unexpected extreme turbulence event caught the pilots by surprise and forced the plane into a position of unusual attitude severe enough to disconnect the AP would the switch to alternate law create problems in recovering the aircraft?