Of course they have to apply that training in the same way, otherwise it would be impossible for the civilian and military investigators to work together. If there was any nefarious actions on the military side you would have an in-place panel of experts on the civilian side that would be star witnesses in any court.
The RN Board President and the MAA went through the Red Arrows with a rake and exposed many issues and apparent wrongdoings within the team over the years. A few officers sat around for quite some time awaiting prosecution decisions. I don't think any of them thought they were subject to a soft process. The DE&S response was far less robust - this is the thread you need to pull on.