The F/CTL computers will report faults if they get enough bad air data info
Been through the FCOM3, and no where does it indicates that an ADR failure (or all of them for that matter) would fail the PRIMs or SECs?
They do receive information from they ADRs, but as the the fault was recognised by the PRIM, (the ADR DISAGREE fault was announced, indicating only two ADR were being used by the PRIMs and these ADR disagreed), ALT LAW would be latch and it would appear to be the end of it. Would you care to explain a bit more?