I watched a video about Japanese cling wrap, and it showed the box has a plastic lip on the part of the lid that's used to cut the film at the desired length. Here in Europe all the rolls I've ever bought came in a paper box which just had a serrated paper edge that gets dull after using it three times (which is not surprising because paper bends easily). I think that probably makes a bigger difference than the material itself. Eventually I got a plastic case for the wraps and I just throw away the cardboard box, but I know most people here use the paper box and would probably be amazed if they tried the Japanese one.