Insulation works by preventing the conduction of heat from one air space (inside) to another (outside). Part of the reason multiwall polycarbonate has internal walls is to be a barrier between the air pockets. That is, a twin wall sheet will have a greater R-value than would the same thickness if it was a single air pocket, rather than two. The reason expanded polystyrene (Styrofoam) is such a good insulator is because it is filled with millions of tine, non-communicating air pockets.
Your 4" air space would be far more effective of an insulator if you can break it into more, smaller spaces.
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