Why carry him at all?
In the time it took to carry the cas to the air amb, a SAR helo could have had him in hospital, without the risk and discomfort (to both cas and helpers) of a prolonged carry over rough ground. And a SAR crew are much less likely to get 'blocked in' by a change in the weather, being both trained and equipped for such events.
Some might deduce that self-promotion, and keeping the stats up, would seem to rank at least as highly as the patients best interests...