I understand what you mean, Wilshire. Though I've always read the PT as a "tree" of which the branches, twigs, etc. are the possible outcomes. The cuts are a way of trimming the possibilities to determine the Shortest Path.
Which is also why I find the speech of the Synthese to the Thing Called Soma about "respecting all the prophecies, even the false ones" (in the WLW) an interesting parallel.