and Hale, what additional training have you received?
Many hospitals have a contracted service provider, that allows them to ship out patients that they can't provide services for, and psych is no different than peds or ICU. I have handled more psych transports than I care to admit, and most go very smoothly. Doesn't make me an expert though, and just because you handle psych transfer doesn't mean you have any specialized training.
If I were to hazard a guess (and this is only a guess, nothing more), I would think the ambulance is an extension of the outreach counselors. So if the counselors are on location requesting transport, instead of calling 911 and requesting an ambulance, they call their own service. Probably no more training than the basic EMT.
I would be curious how they handle violent psych patients, and involuntary committals without involving local law enforcement. Typically the LEO enforces the committal papers, using restraints if needed.
As for the CON, at least in Jersey, it's not an issue. it's a private transport company handling a call private call. They don't even need any approval from the local agencies, as long as it doesn't go through the 911 system.