AMF: I have no doubt that the crew would be intending to advise ATC since their next reporting point wasn't that far away, and perhaps they found themselves too busy dealing with increasingly averse conditions in an extremely dynamic weather situation. Perhaps AF SOPs require they notify the Company of adverse conditions, especially if there can be sick passengers, damaged food carts if they aren't secure, or whatever.
Think I'd rather get to a smooth weather free spot, have the aircraft under control, before advising ops I have a broken cart or sick passengers, or flying through hard turbulence.
Something about aviate, navigate communicate rings a bell.
Who knows maybe they did get to a relatively clear area - but this is all going off on a tangent - nobody knows where the msgs where sent, and what the wx situation was when they were sent.