Maze boards


Can knights jump over maze walls?
I realize that in the boards from the OP, the walls have been drawn between squares. So they're not implicitly 'obstacles on squares'. I'm tempted to say that the walls imply a topology such that even Knights are bound to the maze structure.
Another option is to allow Knights to jump these walls. Or to introduce pieces that can jump these walls.
A third option is to allow Knights partially to jump walls. E.g. on the first board from d4 to f5 or e6.
There's no point in taking this decision now.
Thoughts?