I haven't seen the new tickets, but I always, always, always take plastic baggies with me. My tickets get their very own baggie. That way they don't get wet and have less chance of getting bent up. Plus it keeps them separate from your credit/debit cards, which have a sneaky way of demagnetizing them. I also put the baggie in the DIS water wallet, which has sturdy sides. So far, I haven't had any problems with the old PHP that we used to get. They were pretty flimsy too!!!!
P.S. the snack size baggies are my favorite for tickets (they just the right size!)