Re ‘pitot icing’ (TAT probe icing) see
http://www.pprune.org/tech-log/37578...ml#post4963257
Presumably any TAT anomalies could affect the ADC and ultimately the flight control system. However many of these systems have internal monitors, data cross comparators and validation routines which could eliminate erroneous information, although possibly degrading control system performance.
The links above primarily relate to engine ‘rollback’, which if the particular engine variant was susceptible (always a first time) would be a viable event in the reported atmospheric conditions. However, even with the loss of both engines the aircraft should be capable of flight to a lower altitude where, with improving conditions, systems and engines could be reinstated.