Honestly, I don't think they do. When I was there for MHP we saw a family arguing with CMs about their wagon and I overheard the CMs saying that they couldn't bring it in because they couldn't push it (and have control of it like a stroller). I believe that anything that is meant to pulled behind, they don't allow. Needless to say, I didn't see the wagon with the family once they got into the park.