Here's my thoughts on it. I'm still learning so take this with a grain of salt. I think the twist caps are from someone doing a coil swap and being too lazy to desolder the old coil and solder in the new coil.
So the original flipper wires (green and brown) appear to be running into the electrical tape and then run to the orange black wires. The schematic doesn't mention orange black on the lower left flipper. Which means someone did a coil swap but did it the hack way. Instead of soldering. They just cut and stripped wires and twisted them together.
I would suggest undoing their hack. This is what I would do.
1. Take tons of pictures of existing coil wiring. Even videos.
2. Untwist electrical tape.
3. See if the green or brown wires have enough slack to make it to the coil. If the don't then pull the wires out of the harness to get more slack.
4. Desolder one lug on the coil. Clean it up. Figure out which original wire needs to be soldered on to it.
5. Repeat step 4 with the next wire and coil lug. Knocking them out one at a time.