Not familiar with the A330, however IF (I repeat IF) it is the same as the A300-600/A310 the Crew will NOT get a warning.
On the A300-600/A310, once the Crew initiate MES mode (main engine start) other messages, yes even door messages, are inhibited.
Compass nearly ripped off a door in the same circunstances, and the Crew did not even know until told, why the pushback was stopped. NOT their fault, they had NO indication.
