It's pretty stupid to go to altitudes where you can expect flame-out. What was the max altitude that plane was approved to?
To both of your posts - everything I've read indicates that the aircraft was certificated to FL410 and that ATC cleared the flight to that altitude. If the pilots experienced a flameout at that altitude it was not because they "pushed the limits" but because the aircraft did not perform as expected at an altitude at which it was designed to perform nominally.