Solid state electronics are extremely susceptible to even mild overvoltages. Tubes are not. And magnetos are not. Low-tech magnetos ignition systems are considered to be practically invulneable to EMP.
http://www.futurescience.com/emp/vehicles.html
Magnetos have induction coils, that's sufficient.
Typical E1 pulse component has up to 50KV/m at ground level and is a high-frequency spectrum, you don't need a long antenna for that. EU railway field immunity test is 10 volts per meter and huge portion of industrial electronic equipment fails that already.
Stuff that burns power lines are lower frequency (and lower yield) E2&E3 components.
https://cdn.selinc.com/assets/Literature/Miscellaneous/EMP-T...
Those windings and diodes will carry 100 amps continuously. The E1 pulse isn't going to touch them. It doesn't last anywhere near long enough for them to even begin heating up. The E2 and E3 pulses aren't even a factor.