From BEA. At 02:10:16: "So, we've lost the speeds.......ALTERNATE LAW". (PNF). In between the STALL WARNING, and the (PNF) voice recording, there is no official mention of "CLIMB" (or STALLWARNING). Likewise, it would seem a blatant omission by BEA, had the a/c begun the climb, or had experienced notable problems. (Other than UAS).
We may know soon, or not. I expect somewhat less than full disclosure.