Yes I read the report and know what it says but just because any engine is running upon impact that doesn't categorically mean there was sufficient fuel
Yes it does. Maybe you have no experience of gas turbine engines (in which case I wonder why you are trying to push an agenda of running out of fuel), but with such an engine, there is either fuel being pumped in, or once the fuel level gets too low, air gets entrained with the fuel and a pocket of air in the fuel line results in a momentary fuel interruption which puts the flame out and the engines ceases to function.
In any case, if the engine was "running but with insufficient fuel" aka losing power, there would be a report of low rotor rpm which there wasn't. The scenario does in no way fit running out of fuel. Why not make another post suggesting that the pilots were beamed out of the cockpit by aliens? After all, they survived when some passengers didn't. Maybe they weren't aboard when the heli hit the sea?