Scope and corrections to the proposed comparison

The governing distinction is between preservation of a complete quantum output and recovery from a particular accessible output. A subsequent classical observation is a third operation, and thermodynamic reset is a fourth question. This distinction is documented in Cheung's En07-A, En07-B, and Hawk04-B CheungEn07A,CheungEn07B,CheungHawk04B.

The finite recovery structure used below is standard quantum error correction and no-hiding structure KnillLaflamme,BraunsteinPati. The approximate theorem uses the explicitly stated external input of Kretschmann, Schlingemann, and Werner KSW. The contribution here is a complete, typed comparison: the proofs, normalization, counterexamples, access restrictions, and endpoint error budget are stated in one place. No new microscopic law of black-hole evaporation is claimed.