The decision to transport is made by on scene ground personnel based on patient condition, mechanism of injury, etc. The aircrew has no say in it.
And therein lies the first problem. Only the aircrew will be fully aware of the risk of winching. They should be qualified clinically to make an assessment as to whether the risk of a winch is justified by the casualties condition. A clinical ground party cannot make the decision and non clinically trained aircrew cannot make the decision. You need a wholistic solution otherwise errors and mistakes will continue to occur.
The second problem was how the aircrew dealt with the spin and enough has been said about that already!