In rough terms the 'plastic component' used in the waterproof map and the ordinary plastic bag are roughly equivalent. The waterproof map might not end up in landfill immediately.... but in due course ALL of them will, as we get rid of the boxes of our competition maps when we tire of the sport or get old! At least the clear plastic bag can be reused, and councils have recycle systems for them as well.
Quote from the Neenah Lahnstein website (they make Pretex).
During production, no environmentally hazardous substances like organic solvents, PVC, formaldehyde or ODC compounds are used. No environmentally harmful breakdown products occur at waste disposal sites or during thermic recycling.
So basically Pretex will break down in landfill even if it cannot be recycled at least I think that is what it means. I do not believe that the plastic map bags will do the same so Pretex seems to win the environmental arguement over bags. I also suspect that a thousand years in the future some archaeologist might dig up the plasticky never-tear maps and wonder what people were doing in the 21st century as I am fairly convinced that they will never break down!