Not all body shops bake the paint when they re spray something. Far as I know factory paints are indeed baked.
None around here bake but they should know about the process, when it started, how it is effected by the direct under hood temps, etc.
And that insulation is mostly for sound but it will help to keep the paint cooler thus pro longing its life. Mine would never have that issue since its polished and waxed every few days..
Sound deadening was my understanding also. I call it a heat blanket to identify. You may be joking about the wax - if not I don't think wax can have an effect on the temp.[-(
That insulation runs all under the kj also so its not just for paint issues. Its sound deadening more than anything but it also keeps the cabin cooler since it runs under the Jeep.
If you take it off the paint isnt going to turn to dust and fly off. It may not last as long though if youre planning on keeping it for long periods of time though.
By looking at vehicles that seem to have paint issues on the top surfaces I can conclude that the majority are never garaged. This seems to be a much bigger factor than blankets, baking or wax. I have known of very few people that garage their vehicles when not in use to have problems. Sadly, my KJ has no garage.