From the A330 FCTM-----
TWO ADR OUTPUTS ARE ERRONEOUS, BUT DIFFERENT, AND THE REMAINING ADR IS CORRECT, OR IF ALL THREE ADRS ARE ERRONEOUS, BUT DIFFERENT :
Both the AP and A/THR disconnect. If the disagree lasts for more than 10 s, the PRIMs trigger the NAV ADR DISAGREE“ECAM caution.
The flight controls revert to ALTN 2 law.
The high speed protection and low speed protection are lost.
On both PFDs: ‐ The SPD LIM flag appears ‐ No VLS and no VSW is displayed
This situation is latched for the remainder of the flight, until the PRIMs are reset on ground, without any hydraulic pressure. However, if the anomaly is only transient, the AP and the A/THR can be re-engaged when the disagree disappears.