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The report had twice recommended pairing the parent-anchored window with W = 12, argued from the shape of the mechanism -- a parent gap running one to two block-intervals longer consumes that much window -- but never measured. Swept under the adversary that exposed the cost in the first place (the capstone's geometry, 30 % uncle suppression, U = 2, k = 2160, 12 replicates): uncle W=10 (today's recipe) : D-hat 0.9916 p_ref 0.933 parent W=10 : D-hat 0.9851 p_ref 0.913 parent W=12 (proposed pair) : D-hat 0.9908 p_ref 0.924 Parent-anchored at W = 12 lands within +0.0008 of today's recipe -- parity inside one standard error -- so the anchor's cost under a suppressing adversary is bought back exactly by the two extra block-intervals the longer parent gap consumes. p_ref recovers more slowly (matching only at W = 15) but stays far above the ~0.3 the soft rule needs, so it does not bind the recommendation. The operative conclusion, now supported: adopt the anchor change and W = 12 TOGETHER, or neither. At W = 10 the anchor costs 0.0065 under this adversary, which is the one regime where it is not free. Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>