From the information given, it shouldn't happen, but it is an airbus and it wouldn't be the first time things don't happen as you'd expect. It must be almost impossible to test/check that every conceivable combination of actions and conditions behave as the manual suggests and don't forget that CFDS checks "passed" is not always the same as being physically airborne and moving levers or pushing buttons. I recently had a partial DMC failure which indicated DMC 2 faulty and on switching to DMC all indications were correct for that scenario however when the engineer did the CFDS check it reported DMC1 as faulty! How would that ever be checked? And now someone much cleverer than me will say that the CFDS would ask the operator to make sure something appears on a certain screen or not on another perhaps but this aircraft had been in service for at least 4 years!