I think it really depends on the officer and airport...
I came back from Mexico (through LAX) and I took the citizens line. Then a very nice officer told me to go to a special line for Advance Parole, Reentry Permit and Refugees.
The officer just asked me 2 questions about my old addresses and let me go.
He also stamped my RTD saying "Asylum granted",but never gave me a I-94...They never called me to the "room"...Are we supposed to get a new I-94 everytime we return to the country? Does anybody know the answer to this question?
Also, I think that JFK is pretty rough with non-citizens....they need a lot of security there, it's NYC so I advice choose another airport like ATL or LAX to enter, so you won't delay so much checking in.