There’s three pitot tubes. There were ADs issued over them icing over. Airbus replaced them multiple times with tubes from different vendors.
In the final report, the first major issue is “Temporary inconsistency between the measured speeds, likely as a result of the obstruction of the pitot tubes by ice crystals, caused autopilot disconnection and reconfiguration to alternate law.”
Icing over of pitot tubes seems more significant to me than I think you’re making it out to be.