see if you can get a screen capture of the wiring and post it here for guys to takke a look at it. On the multi meter, what do you mean by conductivity, all wire and metal conduct. if you mean "short " or "open" in a wire then reading zero ohm means the wire is not broken and circuit has " continuity" . If your resistance aka Ohms is infinity then it means circuit is open or broken. You can make a test light with alligator clip to check voltage, close or open circuit just the same. Key switch , closes and opens the circuit. when you put the key in and turn one notch in your vehicle you will notice the oil pressure light illuminate. That is verification of intact circuit and as soon as engine is on the oil pressure would go fro normally closed to open, hence turning off the oil pressure light.