[R] Forced Depth Consideration Reduces Type II Errors in LLM Self-Classification — Ablation Study (200 trap prompts, 4 models, 8 Step-0 variants)

LLM-based task classifiers systematically misroute prompts that look simple on the surface but require deeper processing — what we call Type II error in classification. We tested whether prepending a single "Step-0" question before the classification decision reduces this failure mode, and ran a mec