In a medical emergency, seconds count. In clogged Los Angeles traffic a large ambulance will almost always take longer to reach the scene than a motorcycle. In the event of a cardiac arrest or drug overdose, a paramedic on a motorcycle can mean the difference between life and death.
Fire Departments all over the world use motorcycle paramedics: https://en.wikipedia.org/wiki/Motorcycle_ambulance
The LAFD implemented a successful pilot program of motorcycles in 2012: http://articles.latimes.com/2012/sep/23/local/la-me-lafd-motorcycles-20120924
LAFD abandoned the program because of outmoded thinking and bureaucratic intransigence. Concerns of reduced staffing and therefore a smaller budget likely also contributed to blocking expansion of the program. It's time the citizens of Los Angeles were valued more highly than fire department politics.