That is a lie. There was nothing wrong with the engine. She simply flamed it out by disrupting it's airflow into the engine inlet because she moved the control surfaces in such a way as to cause the front fuselage to block the airstream going into the engine air intake.
This is a known problem on all navy jets and has nothing to do with any specific engine. The aircraft has to fly straight into the air stream. If you get it cocked slightly sideways, the nose of the aircraft blocks the air flow into the engine causing a "compressor stall" and a flameout.
You can recover from this at higher speeds and higher altitudes, but you often cannot recover from this at low speeds and low altitudes.
“You can recover from this at higher speeds and higher altitudes, but you often cannot recover from this at low speeds and low altitudes.”
Correct, but in this case it was recoverable if the procedure was followed.
This was demonstrated in multiple simulation recreations of this incident.
Please watch the video linked in post 40.