I have a few bags. All of them have elastic loops and will hold the mousepad board, but on the smaller ones I have to be sure to roll the board very tightly. A minor inconvenience to be sure, but a slight down side. Overall, I like the mousepad board better than vinyl.
Some people don’t like the mousepad boards because the pieces don’t slide as easily as on vinyl, but I’m a “pick and place” player instead of a “push” player.