He says it runs with starter fluid so the coil is getting juice if that is the case. If you watch the videos, that carb probably has never been open, so I would bet it has some issues; that said it looks like a lot of things need work and I would not be surprised if the coil was weak. Point here is that he does not have a good starting (no pun intended) point, everything is suspect and the ignition switch is a distraction to getting the car running. If I had the car, I would work on getting it running reliably first, then worry about the ignition switch. Basically what he has right now is a remote starter switch connected inside the car; when I build cars I always use a remote switch outside the car to start and tune the car.