Cars generally have little to no insulation, so adding insulation could help with heating and cooling as well as cut down on noise. The material for the roof give a tiny bit of insulation, but from what I've seen for typical cars, there's next to nothing.
Something flexible that can be glued in would probably be idea. Ridged Styrofoam gives nice R values, but it's not too friendly for being installed in a car, works well with large flat surfaces like houses though. I suspect something would be better than nothing even with the little bit of added weight.
Maybe someone can chime in with more experience.
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