CRJ200 CREW TURNS INSIDE CRI ON THE KENNEDY 1 DEPARTURE OUT OF JFK.

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DURING THE CLB AND SSE OF CRI; DEP ASKED IF WE WERE FLYING THE 'FLY OVER YOUR HOUSE DEP?' WE'D DEPARTED RWY 31L AND OUT OF 400 FT AGL BEGAN THE TURN DIRECT TO CRI. I WAS IN GREEN DATA WITH THE CRI VOR 176 DEG RADIAL DIALED IN. I WAS USING THE BEARING POINTER #1 TO TRACK DIRECT TO CRI. WE RETRACTED THE FLAPS AND GEAR ON SCHEDULE. INSIDE 3.0 DME CRI; I BEGAN A TURN OUTBOUND TO JOIN THE CRI 176 DEG RADIAL. AT ABOUT 4000 FT MSL THE CTLR POSED HIS QUESTION TO US AND ANOTHER COMPANY FLT. BOTH OF US WERE TOLD CRI IS CONSIDERED A FLYOVER POINT ON THE KENNEDY 1. NOTHING ON THE KENNEDY 1 SPECIFIES CRI AS A FLYOVER POINT. CURRENT COMPANY GUIDANCE EMPHASIZES IF A TURN IS INITIATED WHEN THE 'TO/FROM' POINTER CHANGES TO THE 'FROM;' CRI HAS BEEN OVERSHOT. I'VE USED THE TECHNIQUE SPECIFIED ABOVE (AND IN ACR X'S GUIDANCE) MULTIPLE TIMES AND NEVER BEEN QUESTIONED. THIS INCIDENT WAS THE FIRST TIME CRI WAS DESCRIBED AS A FLYOVER FIX. IF CRI IS A FLYOVER FIX (SIMILAR TO AN RNAV FLYOVER WAYPOINT); WILL THIS REQUIREMENT BE ADDRESSED IN FUTURE REVISIONS OF THE DEP PROC?