I tested the coozy lid over the stove and experienced some meltage with an esbit stove. Couple thoughts on the test though...
I wasnt able to set my wind screen up as intended. I used my stove top as a burn surface and the pot stand was the stove top on my gas range. As a result, the wind screen was too high around the pot base.
At the same time, the lid coozy covers more than half of the depth of the pot. And there was significant overlap between wind screen and lid. I think if they were farther from each other. Melting might not occur.
I will make a new lid and test next week.