The sparkle/metallic/glass glitter wraps of old vintage MIJ was not usually shiny/glossy. It has a 'surface' that is more like orange peel. The reflection of the light off the bits of metal/sparkles, etc. is what gives it the dazzling look.
Indeed post some pics - and do not try to shine it. Just a gentle cleaning of it will do (soapy water - dawn and water is best) - and allow the dazzle to not be impeded by dirt. Just be careful not to get the wood wet.
Meanwhile, modern sparkles ,glass glitter, etc. wraps are entirely different in that they have the shiny glossy surface, not unlike other modern wraps of different colors.
Once you post pics we will very much so be able to help you with your concerns. Chances are, whatever you are dealing with has already been dealt with by someone else here.