No, National Ambulance is in Abu Dhabi....an Emirate about 90 miles away from Dubai. National Ambulance went full on expat mode and that is why that thread and all those issues exist.
As for Dubai Ambulance, unless you are Philipino or Indian, I do not see much hope for you but give it a try. The pay is low, cost of living in Dubai is high and respect is minimal. For hotels or other services which pick up paramedics, they typically go S. African because you get the white skin, the cool accent and the modern knowledge/protocols but still cheaper than a Brit, Yankee, Aussie or Canuck.