Cracks in the head may cause overheating? Hmmmm, well anything I guess is possible, but I wonder how that would play out?

Just a thought, and I can never know for sure, but the previous owner had removed the insulation glued to the underside of the hood, plus removed the underbody panels, the radiator was fairly new, I wonder if there had been a persistant cooling problem occuring sometime before they abandoned the car having checked all possible reasons for overheat but could find none, thus removing insulation, panels etc.?