Discuss Findings

medium-shortcut span suppression averages +0.00383 +/- 0.00004 and medium-shortcut tail suppression +0.00372 +/- 0.00004, while dense-shortcut recovery gap is +0.00407 +/- 0.00002 and zero-shortcut span change is an even larger +0.01594 +/- 0.00011 across 3111 completed payloads; the suppression terms are positive in about 88% of payloads, but the effect is not cleanly isolated to the medium-shortcut regime.

Threshold disorder does reduce delocalization signatures, but not in the narrowly targeted way the original claim required. Medium-rewiring span and tail rates both drop under disorder, yet the much larger zero-shortcut change shows that disorder is already reshaping avalanche transport before the small-world crossover is reached. That makes the phenomenon more generic than special: heterogeneous thresholds broadly localize activity instead of inducing a uniquely medium-shortcut corridor. The implication is that shortcut density modulates the magnitude of disorder effects, but threshold randomness itself is the primary driver of localization.