'm also guessing that there was not sufficient time for the pilot to react to the double flame out and as a result the RRPM decayed to an un-recoverable level resulting in the crash.
What do you mean, "insufficient time"? Are you really a pilot? What utter nonsense! There's no such thing as "insufficient time", especially in the event of sequential engine failures announced by repeated fuel warnings. Get real!
This just about sums up the case. The pilot simply didn't react correctly to a sequential double engine failure. Brutally; he lost Nr which can only happen by mishandling and crashed.
What more needs to be said?
I know. it ain't popular. But that's clearly what happened.
Be he a great guy, a superb pilot and highly respected by his peers doesn't make him infallible as the facts show, just as the crew that flew the Chinook into the Mull of Kintyre or the A109 into a crane in fog in London were all "good guys", superb pilots" and "couldn't possibly have" done what all the evidence clearly shows they did....
Sorry, human fallibility is the cause, nowt else. As ever.