I can't answer this for sure (I am a pilot but not type rated for any Airbus models), but I'd be extremely surprised if this is the case. The norm is for the air conditioning packs to maintain a constant pressure differential (dictated by airframe strength) between inside and outside until the inside pressure reaches the expected outside pressure at the destination airport, after which it is held constant until the engines are shut down after landing. It would be possible for there to be a pause in the re-pressurisation if the aircraft stays at one altitude for a while (e.g. if holding) but this would affect all aircraft not just Airbuses.