Obviously the basketball example makes a good visual representation of that idea, but in a practical sense the ball is not really 'everywhere'. (It's perhaps also where a multi-dimensional idea conflicts with our every day practice of a single dimensional life (we can currently only go forward in time, in 3D).)
I actually meant just the part of really touching the basketball. Like for friction people have this image of a rough surface each object has which intersect each other and so on. While it's not such a big step I found people being surprised that things don't "touch" each other at all because their knowledge usually stops at a mechanical world view...
For their multidimensional existance of the ball I guess you're right and they did a bit too much here although the idea behind it imo gets expressed pretty welll...
