Earlier quoted context omitted.
> Excellent evacuation job This couldn't be further from the truth. From what I've read, this was handled terribly. There was confusion and no evacuation was ordered by the crew over the PA. The passengers managed it themselves. If it were a crew-directed evacuation they would have blocked the door leading to the still-running engine as you pointed out. It took the firefighters over six minutes to respond to the site…
Six minutes is a decent response time for ARFF in a large, active airport with no advance warning. They can't just drive straight to the incident site; instead they have to wait for ground clearance to enter any taxiways or runways because there are still other aircraft moving around.
Source: 14 CFR 139.319:
Within 3 minutes from the time of the alarm, at least one required aircraft rescue and firefighting vehicle must reach the midpoint of the farthest runway serving air carrier aircraft from its assigned post or reach any other specified point of comparable distance on the movement area that is available to air carriers, and begin application of extinguishing agent.