The "Problem" at JFK is not just all the traffic on the surface at JFK, but the airspace congestion with LGA and EWR so close by. Throw in a few TRW's to shut down some of the departure corridors and you will sit for a looonnng time waiting for -your turn-.
Years ago I was flying freight out of there, 10 pm push, they said we were number 45 in line. There was an approaching line of TRW's coming from the NW, and soon all departures were stopped. We sat another hour, waiting for the thundershowers to pass over, and then of couse the wind shifted to the NW! Well, now they were going to have to "spin the airport" and keeping the same sequence in the line up would cause everyone to taxi all the way around the airport and get back in line for 31. We were near the end of the line, which put us right near the departure end of 31!
I quickly asked (begged) ground to let us go as we were getting short on gas now (AC 690, engines running for hours, no APU) and we were able to take the intersection we were sitting right next to. A minute later he turns us over to tower and we are cleared to go! From last to first! I don't think it bothered the big guys too much, I didn't hear any bitching, they were getting paid by the minute anyway...
That was back in about 1981, JFK has always been a mess, but more so now with more traffic and runway mx in progress. I try to stay as far away from it as possible.