Nail,
From 1,000 feet.....in autorotation....how many attempts are you going to make at starting either or both engines before you start looking for landing spots in the dark over an urban area?
Sit back a moment and think about the various options one has when the second engine flames out very shortly after the first one.
Now tell me which one of those Options you would logically think would be the most attractive one?
Attempt to restart and Engine or start looking for a landing spot?