Sounds as if there is scope for the cultivation of a little camaraderie between the NHS and HEMS staff!
More than that AS, there is huge scope for the British to learn a lot more about joint working. Too many silos. Too much management and not enough technical expertise. The air ambulance situation in England is just one part of far wider problem.
In the rotary HEMS/SAR part of the problem there may be scope for a new role for someone who can bang heads together. An aviator whose principle responsibility is the good of the casualty/patient?