No, the effect also occurs horizontally. The cardboard tube example in the video showed that the rotation was clockwise in one direction and counterclockwise in the other direction, despite the entire structure rotating counter-clockwise.
Yes, it occurs with parallel rays.
It doesn't occur with diverging rays, i.e. rays which actually diverge, spreading out from the centre in reality.
A rotating cardboard tube is more in line with the RE model, than the FE model.
What you need is a cardboard disk.
The cardboard tube has the rotation exactly as you would expect, appearing to rotate the same way as the cardboard tube. Looking to the north it appears to rotate one way, just like the cardboard tube. Looking to the south it appears to rotate the other way, just like the tube.
But that doesn't happen for your celestial disk.
What you need to do is have a disk above the head rotating. That doesn't reverse direction when you look north vs south.
So again, THIS DOES NOT EXPLAIN IT in any way.