The FBW protections have a prioritisation logic, the foremost of which is the high alpha protection.
I have not seen the reference to a pitch up with alpha floor in the FCOM. The aircraft is still in Normal Law and it resists pitch changes with large changes of thrust.
The Airbus is not immune to the forces of nature because it has protections. It will try and resist them but if there was a sufficient atmospheric disturbance you will stall it. A normal stall recovery would then be required. A lot of pilots don't seem to appreciate this.