Crates, I don't think your description does fit the lyrics, unless I have misunderstood you. The thematic item on the right is supposed to spiral clockwise according to the lyrics, which it does in the grid, according to botanical articles on twining. The pole has to be viewed from the base, not the top.
The other thing that settles it is the reference to 'right-hand thread' later in the work. There is no doubt that the item on the right of the grid follows the same path as a right-hand thread.