Well, I'm sure you can read the order I posted as well as I can. If things are happening not according to it, then there might be something in what was being referred to in the other thread. The inspector in this case is looking at the certificate holder, which is the airline or training center, and they are required to sit in during training, evaluations, look at course materials, and so on. There is nothing "private" about an air carrier or similar operator, in the regulatory aspect. "Private" would be a pilot doing something on his own part 91, not associated with an airline, etc.