Unless Airbus has retro-fitted a wind-direction vane on top of their fuselages or tail-fins, there is no way the ADIRS can possibly calculate the wind direction (as opposed to headwind component) while the aircraft track is being dictated completely or even partially by its main wheels on terra-firma.
I'm shocked that any professional pilot posting on this thread could think otherwise. Do you not study the basics of air navigation - including the vectors of heading, track and wind - for your licences nowadays?