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The particular plane is a corporate turboprop, and there have been repeated instances of crashes at high speed into the ground. In any case, it was a for-real broadcast. I've heard of them several times, and it seems that people often need to get such info, like in this case, after hearing about a televised report or event that they missed. What may be more likely is that the autopilot sets up divergent oscillation which ultimately overstresses the airframe. If for some reason the pilot fails to disconnect the autopilot promptly, the result can be spacial disorientation which in turn can cause the pilot to lose control of the aircraft even if the autopilot-induced load was within limits.