My guess is that F/CTL ADR DISAGREE is showing when the FCCs have problems with ADR data, while NAV ADR DISAGREE comes on when the FMGC has problems with it.
You have to understand, that those modern planes take their data from all kind of sources and route them to all different aircraft subsystems. FCC needs the ADR data for computation of stearing commands while the FMGC needs it to compute navigational data.
Makes sense?
Anyway, as mentioned elsewhere, I do not think that we will get important information about the cause of the crash from the well known ACARS signals.
hth,
Dani