I think the camera is fine, ta, a good picture is shown when connecting it directly to the Headplay goggles
I'm pretty sure the 3 connection wires are OK....
pin 1 (+) on the Falcon is connected to the 5-17V pin on the Swift via red wire
pin 2 (-) on the Falcon is connected to the GND pin on the Swift via the black wire
pin 3 (Unmarked) on the Falcon is connected to Video on the Swift via the yellow wire
I assume that pin 4 on the Falcon, which goes to the original camera via the green wire is either not needed or the ground wire for the video signal. I've tried connecting it to the camera along with GND and then instead of the yellow wire but still no signal.
Here's a photo of my temporary patch cable, I did make a 3 wire JST to JST cable but am using this one for testing.