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The paper argues that detecting an average effect of an acquired LLM-derived signal is not the same as learning per-instance acquisition policies, and establishes a reward-SNR floor (ρ* ≈ 2.8/√N) below which offline routing is impossible. It introduces Structured Hypothesis Embeddings (SHE) and shows across three datasets that learned per-example acquisition collapses below this floor, recommending design-time regime gates instead.