Anyway... it makes sense for classes to have greater mobility or verticality in certain situations. Right now, casters get misty step, fighters get a big jump, and rogues can move fast. Items, spells, and abilities from the preexisting Dnd rules can enhance that, and it would encourage bigger, more vertical, and more diverse combat areas, which in turn would provide for more diverse traversal and more diverse combat encounters. The Harpies are a good example of a vertical enemy, while the Adamantium Guardian fight uses verticality concerns while superheating the Guardian. Not every mobility enhancer also needs to be a verticality enhancer, and not every verticality enhancer needs to help mobility. I imagine a rope would be great for verticality, but poor for mobility. The rogue's dash is great for mobility, but poor for verticality. Misty step and big jump are great for mobility and verticality.
I would love a boss fight against a HUGE enemy that involves getting high enough to damage it in its face or other weak point, or low enough to get out of its line of sight. To get close enough to harm it, but far enough to stay out of its arm's reach if necessary.