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Spike addressing codex round-32 recommendation for plateau detection diagnostic. Result: v3-inherited HC threshold (cos>0.95 AND dh<=5) sits at high-gradient regions of the alert-rate surface (local/median gradient ratio 25.5× for cos, 3.8× for dh) — locally sensitive, not plateau-stable. Per codex round-33 review, this is corroborating evidence for the no-natural-threshold finding (Scripts 39b-e remain the primary proof); MC/HSC boundary dh=15 IS plateau-like (ratio 0.08) which means plateau finding applies to HC cutoff only. Pooled doc-level deployed alert rate at v3 HC threshold = 62.28% (vs Script 45's 17.97% inter-CPA proxy; 44pp gap framed as "deployed-rate excess over inter-CPA proxy", NOT presumed TPR). Companion artefacts in reports/v4_big4/alert_rate_sensitivity/. Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>