Hi Lotetu,
Once you've selected ATT, then you've stopped the IRS from processing data. Did the MCDU have the message, "IRS Frozen at"?
See FCOM 4.3.25. IRS monitor page.
Displays the selected IRS in large white font.
When data is frozen, IRS is replaced by "IRS FROZEN AT", followed by the time at which the pilot has frozen the display.