Plastics are amazing materials. Plastics can do things that were impossible before they became common in manufacturing and design.
In some ways this solution (where they use a little less plastic and lie) is better than the much more common plastic laced paper that tries to pretend to be "green" At least with this mess, you can still separate the plastic and paper.
Our school tried to replace plastic cups only to buy fake "green" paper ones with a plastic micro-lining.