WillowRun 6-3
It's not impossible. NTSB in 1549 inquiry gives some references about research on systems that were to give more precise state of Engine damage to Pilots. They were given up due to lack of funding. If it was available then crew wouldn't have wasted time on relight. Now in A350 Autopilot is available with dual Engine flame out. Automaic decisions and executing a landing or ditching should be possible.