I agree that something doesn't look right, but if this is a Magnetron then where is the other black wire going. Normally you just have one wire going to either throttle or brake so that it earth's & kills the spark when you shut the engine down. Additional wires usually mean you still have points, so does the other wire go under the flywheel. I have a Briggs engine with points & can take a photo of that set up if needed
Your strange connection is an Earth / ground that should have a loop terminal to be clamped under a suitable screw.
Your first image is of the coil armature and unless my eyes deceive me it is on back to front - may be not?
