Correct. But I would assume that if caught in a prolonged updraft (recent AirAsia crash?) the airspeed will start to decrease rapidly as the relative speed of the shear to the aircraft is decreasing.....?
For an airframe with intrinsic speed stability, the normal response to a step change in relative airflow from a strong updraft would be an increase in g followed by an eventual return to steady state. That is with no constraints, such as trying to maintain an altitude.
Throw in FBW and pilot inputs and what happens? How does a FBW Airbus deal with rapidly increasing airspeed
and AoA at the same time?