According to Pete C. :
I'm still holding out an open mind on it. I don't think it's even that conclusive. Nor am I sure that I fully accept the OP's knowledge and recollection of every possibility.
Secondly, Tyvek != vinyl. The vinyl may show less damage than the tyvek even if there was an external heat source. The tyvek may have a lower melt point than vinyl, will likely shrink (causing tension) when heated, and it's so thin to begin with, it'll blow holes much more quickly than the vinyl would.
Given the information we have to date, I still think he needs to pull some sheathing off. The tyvek melt pattern is too suggestive of a hot wire for my comfort.