That crash had nothing to do with the Fly by wire system, it was a pilot error and did not occur as you describe it. https://en.wikipedia.org/wiki/Air_France_Flight_296
If something it was a false belief that the FBW system would save them from anything, it did prevent them from stalling but they had no speed to climb since they were in a near stall position.
Like it or not: FRW and computers have made commercial aviation a lot safer, it cannot eliminate all risks but it helps the pilots to avoid most of the common mistakes. If pilots had to fly manually they would be better pilots for sure, but they would also crash a lot more often. We cannot have commercial jets flying with a compass and a clock just because it was the way it was done in the past. Commercial aviation is about moving people and stuff from A to B in the safest and most efficient way. If you want to experience the freedom flying can give you then General aviation is there for you. I prefer to fly that way but just because I do it doesnt mean that i want the guys in the airliner im riding with to do the same.

Sorry "Charlie" (the tuna), but you are wrong sir! The crash I am referring to is this one:
https://www.youtube.com/watch?v=-kHa3WNerjUThe crew had taken off and after it assumed the VR attitude, the aircraft gained about 50 feet AGL, and proceeded to fly directly into a forest of trees dead ahead and all they would have had to do was knock off the computer and push the thrust levers full up and the crash would have been canceled!
The computer "screwed" up and that is my point about FBW, I know that is the way we are going in the future and someday, they will be completely trust worthy, but don't think we are to that point yet!
I called that friend of mine this afternoon, who now is a captain on a MD88 and he told me that which ever "stick" moved first, had priority, but the captain could always "over ride" the first officers "stick". It normally stayed in the neutral position unless the captain over rode it. I am referring to the first officer having command of the flight controls!
I know that I am old fashioned I guess, but like I said in another post, I have never heard of an aircraft crashing due to flight controls becoming in active of their own accord, I am referring to cable and push rod flight control actuators.
Another case in point was the crash off Long Island, where the co-pilots input on the rudder was so much, he broke off the vertical stabilizer and of course, down they came. (I know someone in here argued that you could fly with out a vertical stabilizer, but that is BS, you can't, not with a standard tail arrangement) There are aircraft which can fly without a vertical stab, but that is a all together different flight control system!