It's likely, as Wheelsright pointed out earlier, not all faults are sent to ACARS for transmission. The CFDS is operator configured, so some messages will be stored, some printed (immediately or after landing) and others sent to ACARS.
As we do not know what filters were applied (if any) we can only assume other fault messages were likely to have been generated as well and were never transmitted on ACARS either because they were filtered or ACARS/VHF 3 failed.
I'm sure the FDR when its found, it will tell us what we need to know and shed some light on this catastrophe.