As someone pointed out in the YouTube comments, and in the above reply, this doesn't really offer freedom in the 4th dimension, or even an accurate way of looking at the 4th dimension. It's analogous to two 2D mazes stacked on top of each other with the ability to jump between the two. The overall puzzle exists in the third dimension, but not in a "life-like" way.
Another problem with this type of representation of the 4th dimension is scale. If the 4th Dimension is time, and you want to move in the 4th Dimension to a point at which the object you're trying to circumvent, say a wall, doesn't exist, you have to go back to before it was made or forward to when it decays away. In a lot of places, any wall you're likely to encounter is older than you are which, you might suppose, would mean its size in the 4th dimension would be bigger than you. I suppose if a wall were new, you would be at one edge of it 4th dimensionally-speaking.
Anyway, I know that this game is just using the 4th dimension as a way of spicing up a puzzle game, for which I applaud them, but I would love to see a real mind-warper out there sometime. There used to be a 4D rubiks cube program, for instance that used to really tweak me out.