I don't fly for Emirates, but here's my opinion.
JFK isn't that hard to figure out. When using 4/22, the inner (longer) runway is used for departure. When using 13/31, the longer will be used for departure.
The arrival atis will normally say ILS 31L/R in use, and 31L is being used for departures. That gives me a pretty good idea of which approach to brief.
Now if you ever have the displeasure of flying into Chicago...
