Doze
You're getting things a little muddled, bear. A/P disconnect appears to be caused by the loss of air data, not the position of the THS.
No. A/P disconnected via unreliable air data OR it limited out. Not loss. It is the cause of the discrepancies that is important, and unknown. The a/c was being trimmed at handover. It was descending and rolling OUT of A/P. This suggests to me that the cause may have been severe turbulence AND/OR an autopilot that could not keep up.
Either way, these are two distinct possibilities. With Ice, we are stuck with only one. The timing of the faults suggests a/p dropped before the reads became unreliable. This means it is possible the a/c remained in Normal Law for a short term, until the discrepant reads instigated the Law change. I have not seen a proof against this. Only some "assurances".