I'm an AMR employee, but we totally didnt have a hard application process. We interviewed and had a basic skills test which was basically to make sure we could pick up our share (I think it was 120 pounds maybe) and carry it up and down stairs. We didnt do assessments or practicals of any kind.
PS, I love my job! I work for a VERY SMALL division. We only run 4 trucks and have about 10k calls a year, I think 70% are 911, 30% NET. We all usually end up running 1-2 interfacility transports a shift between 911 calls.