Sounds very dodgy - by which I mean anyone using the white cross as any sort of flight indicator/director is barking up the wrong and very dodgy tree.
The White cross is NOT a flight director, NOR is it any sort of aircraft attitude indicator. The white cross shows the sidestick position ONLY.
I guess this potential confusion, (although frankly it beggars belief), might be why Airbuses now remove the white cross very soon after rotation.