Personally I see plenty of problems with a real-time public broadcast of all the addresses a medical event has occurred at, the patients' location in transit, and the hospitals that received those patients.
"Ambulance chaser" is a rather derogatory phrase for a reason.
there's no need to post 7 digits accurate GPS coordinates, the important thing is to have an understanding of how many are how far from where they are going to, ETA, what's the capacity (free units ready or cars yes crew not, or vice versa)
An emergency dispatcher could send a Text message back with a link to a private, case-limited, web page with an ETA + a map + the ambulance location in real time.
See? no "real-time public broadcast of all the addresses a medical event has occurred at".
This would be a great way for thieves to determine which house is likely to have just had everyone leave it in a hurry and not likely to return any time soon.