As stated, without a load the engine would overspeed and sieze almost instantly.
With a full load of pax and baggage the aircraft would have quite a serious aft CofG and loss of the prop wouldn't help. If travelling at sufficient airspeed to excercise elevator control the pilot would have caught it and descended in the glide but with quite a lot of forward pressure on the stick. Oil on the windscreen would have complicated matters and I believe it's a combination of these things that added up to a fatal accident. any of them on their own would have been survivable.
It's always the little things that add up to a major problem......