I still maintain that as the medical / travel insurance company who wanted the patient repatriated called Careflight as the medical company, not Pel-Air; and Careflight contractyed Pel-Air to provide the aircraft and crew to Careflight, then it was a Charter, not Airwork.
For Pel-Air to qualify as an airwork provider the original requesting agency would have had to contact Pel-Air, not Careflight.