Agreed. Only in the most contrived of scenarios can you come up with something a jet pack paramedic could do that a "regular" paramedic and helicopter crew couldn't do.
As a plus, the helicopter option also means a basket and the ability to extract the vicim(s). As another plus, when not in use for paramedic / rescue missions there are a number of other reasonable things a helicopter could be used for. To me the jet pack looks like a toy looking for an excuse to exist - other than it is obviously a heck of a lot of fun to fly around with.
The jet pack only makes sense if the cost of the jet pack is much much lower than the cost of a helicopter, enough lower that they could be widely deployed.
What would make MORE sense, though, would be quad-copter drones. Cheap, able to search wide areas and provide video back to base. Add some robotic arms and a first aid kit, and they could perform first aid without needing a human.