Just read the BEA statement from today. Simply from the tone and voice, e.g. "from another source is null and void", they seem to be under enormous pressure to gain time.
Based on the assumption that by today at last they went through some of the cockpit conversations, I believe they have a very clear picture of where to look next in combination with ACARS and data recorder.
With Airbus being allegedly quick to issue internal Accident Information Telex, I assume there must have been a very significant hint with regard to the combination of factors.