Way back, I issued a met warning in Palma one night when our BAC 1-11 showed nothing on one ASI and over 350 on the other. We'd just lifted off. The aircraft was thrown over some hangers to the left of the runway. We climbed away and everything was normal after that except that Barcelona became very busy that night.
The relevant point here is that with those conditions, accelerative side forces in those conditions may just have caused a momentary difference in the pitot/static pressures that triggered the difference warning. Not long, but an age if the wrong conclusions are arrived at.