mitrosft & Bertie Bonkers,
It should only do that if frontal area is bigger than that behind axis. AOA also has to be considered of course.
for small AOA, CP is typically @ 1/4 to 1/3 of MAC, not 1/2.
I would expect Airbus engineers to have set the pivot point just forward of CP. Keeping this distance small would minimize the loads on the jackscrew, allowing it to be a bit larger would be more fail-safe, see next:
I would expect that shedding of the elevators/trailing edge of HS would have moved the CP further forward. Whether that was enough to bring the CP ahead of pivot point is impossible to say without as a minimum the HS plans and knowing what was missing.