I wouldn't have shut the engine down unless other parameters confirmed the engine was cooking. Idle it, take the best bits of the Engine Failure/shutown checklist and the best bits of the One Engine Inop landing checklist and divert to nearest suitable airport. Pan call is sufficient according to my companies part A. I remember that a Boeing test flight crew had to shut an engine down whilst etops certing the 737ng (700). The engineer in the back requested the shutdown. They limped back to Boeing Field for nearly 3 hours on the remaining. They didn't tell atc anything just that they were operating at reduced speed. Obviously they could have cranked up the cooked engine again if needed. I really hope the kestrel engine was completely cooked and that other parameters were out of limits before they shutdown, or I believe they unneccesarily risked a lot of lives.