Have you heard of the neon bulb oscillator circuit? Basically you put series RC circuit with a high value R across a DC power supply and a neon bulb in parallel with the cap. Neon will not conduct till it hits it's threshold voltage voltage then it will conduct heavily. Basically the cap will charge till threshold is hit then the neon nearly shorts the cap, the neon voltage drops below current sustaining level and the cycle restarts. RC determine the time constant. It was common in early intermittent wipers in cars I was told.
That circuit may or may not be in your igniter (did not check), but it could explain how it pulses the spark if not at a clean multiple of 60Hz.
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