So instead of having more staff in the hospital (which would solve the underlying problem with the existing system even more than a first responder engine or more ambulances), the city is implementing a pilot program (which is in violation of the state laws and protocols), where the existing paramedics can tell people they don't need an ER? what additional training will they receive? as one of the commenters said, if the patient wants to go to the ER, but the paramedics doesn't think it's needed, can they deny transport? they get paid to take people to the ER.
Nice idea in theory, but I can see plenty of issues.
Lets give the paramedics more education, and a high level of QA, and do it to better help the patients, not to relieve the back log in the ER.