When this "zoom & boom scenario" is considered, it will seem obvious that those fully monitored engines (from Brazil take off to 0214:26) will trigger at least "ENG STALL" ECAM warnings and all related ACARS.
But all very dependent on power setting. If my aircraft had just lofted me to the edge of space, I would put the throttles wherever the engines seemed happiest just to keep them running and the lights and hydraulics available.
Do you have specific data on engine operating envelope-Olivier? I wouldn't be surprised if the engine authorized envelope would be exceeded, but the stall margin envelope is typically very dependent on power setting.
And without Direct Law, I don't think a deeply stalled Airbus has a hope of recovery. It is a THS thing.