No cam signal pulls the plug (almost literally) on the sequential operation of the fuel injection, which goes back to VN-VP style batch fire mode i.e. fires all the injectors together instead of in firing order.
Definitely worth looking for the magnet; you should be able to see it through the hole where the cam sensor sits.
If you want to check the wiring, try:
5V on the brown wire.
Battery voltage on the white with black trace wire.
Grey with red trace is an earth.
Those are between the sensor and the DFI module; DFI terminals J, N, and M respectively.
If you have a digital tachometer, you should get an rpm reading with it connected between the N terminal - W/B - and the M terminal or an earth. The "rpm" will be engine rpm, ~ 850 at idle, divided by 2 (= camshaft revs), divided by 3 (four stroke, 6 cylinder) if the tacho is set on "6-cyl.").
Alternatively, the sensor should switch a test light across N and M on and off as the engine is rotated by hand.
Also, the DFI module switches a 5V signal between terminal F on the DFI and D3 at the PCM.