When you said winter I thought in a typically overlooked thing: checking the AC voltage of the socket. The heater can make a drop in voltage, and a peak/spike protection device can help you to avoid random crashes.
Another theory would be that because of the time and manufacturing process, some chips can get oxidized after so many years, meaning the main layer gets too close to the ground layer and creates an overheat. One fast and dirty technique is to put a finger on each chip trying to notice a rise in temperature, and interchange the chips between your two Intellivision consoles.
Finally, before touching any chip, make sure you touch a metal surface to discharge yourself (especially if you have a carpet!). Many good chips have been destroyed by static electricity when the owner tries to reseat them.
P.S: I had to answer this as you were playing Castle of Death 🤩