Some provinces use the terms:
PCP, ACP, CCP. Primary Care Paramedic, Advanced Care Paramdic, and Critical Care Paramedic. Here in Alberta, we use EMR, EMT, and EMT-P (generally just refferred to as Paramedic). I am an Emergency Medical Technician. I am trying to get into school to earn my registration as an Emergency Medical Technologist.
IMHO, I think everyone should go to the PCP/ACP/CCP format. As mentioned earlier, the definition of the word Paramedic doesn't specify one particular aspect of what we do. There are some that will hold on to the notion that the title "Paramedic" is earned. But, we keep striving to progress don't we.
Here in Alberta,at least where I am, we call the nurses "Nurse". that's what they are. We call the student Drs that come thru occasionally "Doctor". They probably aren't one, but I don't want to call them "Student".
On the other hand, since those levels below Paramedic are not as educated, maybe we should consider removing the word "Medical" from their title.
Personally, when asked, I reply that I am an EMT. If they don't know what that is, I tell them I work on the Ambulance. But, since I don't drive all the time and my training was focused more on treatment than transport, I take offense at the term "Ambulance Driver". Noone calls FFs "Fire Truck Drivers". Or PO's "Police Car Drivers".