I'm not sure what an "ignitor" is-spark plug? But, most all the small gas engines use a magneto for spark, there may be some electronics involved somehow now. I'd look there along with wiring.
Magnetos generally run forever, which is why any problem might be over looked. Plus, getting to it involves real work (pull the flywheel). When you have no start, pull the plug wire, attach a working plug, ground it and crank. You should see spark at the gap.
Earlier this year I discovered our UTV wasn't 4x4 no more. Solving that involved electronics and in the process I discovered that the wiring harness has 5 diodes buried in it (and no, the factory service manual doesn't tell you where they are, but the trouble shooting instructions were great) to take care of various things. I hate it when engineers just have to "demonstrate their grasp of available technology". [Quote from the excuse of an engineer for the unbelievably overly complex and completely unsuited for the purpose tool they designed.]
I used to have to escort electronic techs. They hated intermittent issues, they generally just did a cursory inspection and waited until the glitchy part smoked to solve it.