But you can only move the object in 2 dimensional space, making it 2D! That's like saying a technical or perspective drawing is 3D just because it looks like it has depth, which is a similar concept to polygons (just points in space rendered has pixels in the end).

In Kishi's example, every time you control the character you are looking at a 2D space but you can switch the angles. At no point can you move the character in a Z axis (technical, yes you can, but based on the camera angle it would be considered X,Y axis still).

By the way: I was more or less talking about Smash Brothers. I don't believe you can move the camera around freely in that game.