The uploaded sheets don't state what type of trigger it is. I was just trying to get a few questions in the back of my mind answered. If the sensor plate was photocell you would not need oil droplets to be leaking past the seal in order for it to be a problem. Crankcase vapors would be enough to cause photocell miss-fire issues. The sensor plate is probably reluctance. Almost all photocell setups that I have seen were aftermarket products. It is just a unanswered question in my mind.
Reluctance pickups do fail just like crank triggers do. They have permanent magnets that get weak with time. Heat makes components drift slightly in value. The combination of both will shift your threshold trigger point over to the failure side. I feel your down to 1 of 3 components. It should not be too too hard to find but it takes some troubleshooting. If the bad parts just jumped out and said Hi, anyone with no experience or circuit understanding could do it. Your doing Great so far. Even if you draw dead,, you are gaining knowledge that will make you even better for the next time.
Test the Module & coil and see what happens. Just wish they gave us more in depth info as to what type of trigger it was. All they show is a "cable" and not individual wires on the trigger unit. I guess they don't trust us knowing too much.