Maybe I should elaborate on my earlier post on ACARS.
"MAINTENANCE STATUS ADR2" was transmitted at 2:14:14.
This should have been followed up by a Class 2 fault message between 2:15:00 and 2:15:14 (referring to BEA interim report). That Class 2 Fault message was not received. Since the Aircraft's orientation should have permitted sattellite communication prior to impact - that makes it likely that impact was within a minute post 2:14:14 - making it unlikely that the aircraft was at "medium/high" altitude at 2:14:14.