Not to belabor the point, but we know that he does get tired and thus doesn't quite follow normal movement rules.
It's moot at the point, but there is a world of difference between Parson being shown to be winded after climbing some stairs because he is fat and out of shape and concluding that he doesn't follow the normal movement rules. Unless he actually couldn't get somewhere within the city because he was tired, there is no impact demonstrated for being shown to be tired, and thus no conclusion which can be drawn about Parson and movement rules.
And, the very existence of Maggy's spell "Ephedra" shows that being tired or weary is not exclusive to Parson.
Absolutely excellent points. Of course, we do know that Erfworlders cannot be reduced to just their stats.