From what I'm getting via various means, when the supervisor showed up and ordered CPR and transport, the crew was in the truck with the patient, and were in the process of getting medical control clearance for cessation of efforts- but not actually performing CPR. So it would seem to me at first glance that the supervisor walked into a situation he knew nothing about and changed everything.
Should they have been doing CPR while calling the doc? Probably. Would have changed ANYTHING? Nope:
I'm also wondering why the supervisor writing the letter didn't consider this an issue of deficient care until he got laid off. Maybe it proves his point, maybe it doesn't. But the timing is interesting.
The only person who gave the family false hope was the cop who started CPR and the supervisor who forced the transport of a dead body. Further, newspapers always say that the patient "died at the hospital," because they like the lay public have this idea that transport (even with CPR in progress) must mean the patient was still alive. Happens all the time with shootings, stabbings, and car crashes in my area where I know for a fact the patient was a trauma code from the moment of EMS arrival, but the media always reports that "the victim was transported to an area hospital, where s/he later died." "Later" being the ER pronouncement about 5 minutes after arriving.
As for "Why did they need a supervisor," it's common practice in many systems with field supervisors for the supervisors to respond to potentially serious calls and assist. I'd say a dispatch for "baby not breathing" would qualify, wouldn't you?