You're right, I did jump the gun a bit. I'll revise: educating all prehospital providers to the highest level of medical care, based on medical theory, not step-based levels of skills, is the best way.
Piecemeal education, having every level operating on it's own and then stacking them upon each other, is not efficient, or effective.
No other medical profession operates that way. They may have increasing levels of autonomy as they move through the programs (such as MDs), but it is all emcompassing and designed toward one goal, the highest level of education and medicine in their field.