Obviously it's easy to Monday morning quarterback when you're not in the moment. However, I think there might have been some lack of situational awareness or confusion on the approach. Sounded like he wasn't set up for or thought he was getting a different approach when he questioned where the vectors were going to take him. While the VOR 13L/R into JFK sets you up for the longest runways, it requires more hand flying and low altitude maneuvers while dealing with this emergency at night. By no means am I implying it's something all ATP rated pilots cannot successfully complete, but you might as well make it as easy as possible for yourself in an emergency situation. Regardless, nice work to the crew for getting it on the ground safely.