I'll try that. If that's the problem though, why would it start right back up? Wouldn't it not start until it cools off?
I learned a long time ago that an intermittent electrical fault can do almost anything it wants to, and probably will. I stopped trying to make sense of every single condition. The hardest part about them is trying to catch them when and while they are actively at fault. Otherwise, you're down to guessing and troubleshooting by substitution, which gets awfully expensive, since electrical components are not returnable, as a rule.