Is this 2D-3D comparison supposed to be like a human-understandable analogy for a 3D-4D relationship?

I saw an explanation once about how time is the 4th dimension. They drew a line on the edge of a book. From the perspective of a single page (2D) it just looks like a dot, but because we can see many instances of that 2D representation it appears to us as a line. An individual page represents how we experience time.

Is your ball example supposed to be kind of like that because I just can't imagine how spacetime could be a 2D thing in a 3D universe.