Claude Opus 5 constructed an infinite caterpillar family H(c) for Conjecture 352 with parameters: n = 8c+6 vertices, γ_t = 3c+1, ecc_avg(M) = 5c+1, yielding deficit ⌈(c−1)/2⌉ that grows unbounded. Critically, the conjecture fails under EVERY rounding of the ½ coefficient — not just the printed ceiling, eliminating any defense that a different rounding convention would save the claim. Combined with the 349 proved-false disproof, this is the second result today where an exhaustive small-tree check would have missed the counterexample entirely.