Kudos to the AA crew.
JFK is notorious for "keeping things moving" and they won't be in the room when you're doing the carpet-dance.
Sure max demonstrated x-wind is not a limitation, but if you run off the runway because of a blown tire, guess what the Feds will do...
Don't end up like the crew with the fuel leak emergency that was denied a straight in in DFW because it was "inconvenient" for ATC and they ended up flying a downwind and final on fumes...
Cheers
George