All I’m claiming is that your claim is an arbitrary isolation of the paths. If I limit the scope of connections being considered to connections between two layers then I can say there is no hierarchy, just direct connections, that would be disingenuous. Likewise to ignore that the “hierarchy” is part of a loop seems an over-simplification.
Given that there is so many loops at so many scales I don’t think we can reason effectively in terms of strict hierarchy from inputs. I created another thread on this.
I will take that as a no. If the algorithm is the “right” one then it should probably already have those distributions.