The "gross incompetence" happened on the flight deck when a whole crew conclusively demonstrated they could not get the airplane to the end of the runway without crashing on a CLEAR day !
Responding to a burning crash will by definition be an exercise in chaos management requiring making decisions in a hurry with limited information. Those examining the first responders will have months or years to analyse a situation that the people on scene had to deal with in real time.
At the end of the day faults may be found and hopefully lessons learned whcih will allow other first responders to deal with horror of a major airfield crash.
But there IMO are no lessons to be learned when looking at the actions of the flight crew just a sad manifestation of utter incompetence at the most basic flying skills.