newt r0j0's example is completely wrong, the mapping of the positions are all wrong, it's not the same thing.
[EDIT: no it absolutely isn't wrong, my bad! ]
You're thinking of coordinate transformation, I'm plainly showing you transformation of the *end visual result*
If you want more convincing, take my example and implement a super-exact grid movement on the orthogonal plane, perfect square tiles. When you run it through the two canvases, you'll see every pixel lines up, pacman will be on the exact same grid square in both the orthogonal and iso plane.
Magistross agreed. Even though! The "floor" doesn't need any distortion. Only vertical sprites do (walls, people etc). And even then it's a distortion that can just happen using code at Start of Layout: all family_vertical_sprites rotate -45 degrees and scale vertical 200%. And then you forget about it