Edit: my view has been substantially altered. Due to my existing bias towards all grain mash, I hadn't considered the possibility of woody material fermentation on methanol creation. I still believe negligent adulteration is more of a risk than negligent distillation, but negligent distillation is not a totally irrelevant risk.
My investigations into home distilling convinced me that distillation doesn't convert ethanol into methanol. Moonshine poisoning is the result of adulteration of the product, (mixing it with other intoxicants) not bad distillation.
Basically sometimes people put other stuff in moonshine to reduce their costs, or give a special buzz. There's no guarantee that the adulterant to be concerned about is methanol.