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That engine did not relight. I've seen engines like that before. That slag you see is the turbine blades. When they fail, they melt and it happens without stalling the plane.
A likely scenario here is that they were in cruise at Fl340 and that engine cored out on them. Possibly, before they took appropriate action and descended to drift down altitude the airspeed bled off and flamed out the other engine.
Fuel flow is always a function of compressor speed/ outlet pressure and thrust lever. When an engine flames out, fuel flow drops accordingly. A flow reversal/ engine stall can cause an over temp, but not usually to the degree that you melt the turbine. I have seen fan blades damaged by stalls, but never the turbine.
Until I hear the final report, I'm giving these guys the benefit of the doubt here in that they were probably operating near the max altitude for their weight and were perhaps at ECON cruise so their airspeed was already slow. The engine cores, airspeed rapidly bleeds off and the other engine flames out.
Let's wait and see.
You are wrong.