I have read that the Venezuelans (accident site) and Colombians (carrier home) are the primary investigators on this accident. It appears that the BEA's task was to assist the investigators in extracting data from the cockpit voice recorder and the flight data recorder. So the BEA would not be authorized to release any statements about details, cause or other circumstances. I think only the primary investigating authorities can do that.
The "French and Venezuelan judicial authorities" investigations mentioned in the BEA press release seem to refer to parallel legal proceedings, not the primary accident investigation itself. Early on after the accident, there were accounts of judicial/criminal proceedings in Martinique.