Gonna give OP the benefit of the doubt that I think people keep forgetting. He was on a bus that got in an accident, which delayed him even further. Its possible those 10 people who made the connection were not on that bus and not affected by that accident. If the bus never got in the accident, he would have made the flight no problem. Sure, if he took the F bus in the first place none of this would even be considered. But I think its a bit unfair to blame OP for the bus getting into the accident which eventually caused him to miss the flight.
I still stand by my first guess that EK was less willing to help because it was an AS award. If I was on a paid F ticket JFK-DXB-MEL I just don't see it having been this difficult to get put on the next flight.
I didn't forget. Those other 10 people were, presumably, on the correct bus... OP was not. There were numerous ways for OP to avoid these circumstances.
By the way, did EK cause the accident?