Machinbird, it's a little frightening as animated meat cargo to think that a plane has discovered a new set of conditions that leads to oscillations within the feedback loops in the control systems. (That is what I read your "dynamic instability" to mean.)
I suppose it's possible if somehow the ambient conditions around the plane were very much different than expected or the set of feedback parameters that existed to work with were so corrupted nasty results happened. Of course, for much of this crash what is often called "meatware" was in control. And it's properties are not precisely calibrated, especially if conditions were quite different from any training the "meatware" ever had.