I do believe there are at least 1 ARFF call outs a day at either JFK or LaGuardia, and FDNY does not go. If there is a structural fire on airport grounds, I have heard boxes go out for that.
OK, we don't strike boxes. This is not Chicago. We do get 2 or 3 Call 33's from Kennedy, and less so LGA. But something like this, they should have transmitted 269.
Chicago does not strike a box per se. What they announce is a still and box alarm for a stand-by @ O'Hare or Midway. In addition to ARFF rigs supporting Chicago supression companies respond. I do know Boston transmits box 6-1-2 for incidents at Logan.