I assume a lot of it can depend on jurisdiction. We’ve had a few transported over my years in the comm center. Usually the monitoring service has called in to our PD and we just verify the incident, with them.
In the event of an emergency they’re permitted to leave the residence.
Treat and transport. If there's time, call their probie. If not, let them deal with it. Nobody is going back to jail because you took them to the hospital in an ambulance, regardless of who you did or did not notify.