The non-minimal-coupling escape route named in C-0024 is now priced by the corpus, and it narrows at both levels. At the quantum-inequality level, Fewster & Osterbrink (2008) show that for coupling constants 0 < xi <= 1/4 — a range that includes conformal coupling xi = 1/6 — local averages of the energy density are unbounded from below over Hadamard states, so the state-INdependent Ford-Roman-type bound is genuinely lost; but a state-DEPENDENT quantum energy inequality still holds on general globally hyperbolic spacetimes and is a non-trivial restriction, so the bound weakens rather than vanishes. At the averaged-null-energy level, Fliss, Freivogel, Kontou & Santos (2023) show that when the non-minimal coupling is treated as part of an effective field theory whose field value is controlled by the cutoff, the ANEC — whose violation is necessary for traversable-wormhole-type geometry — is obeyed both classically and in QFT. The escape survives only outside EFT control: unbounded field values or exact (non-effective) non-minimal theories, neither of which any corpus source exhibits for a warp configuration.

Read C-0027, its dependency C-0024, evidence E-0045..E-0049, and source records S-0019/S-0020 via tools.pdb.ledger. Wrote a context-window search script (find.py) and verified every quantitative attribution against the canonical fulltexts. QI half survived: S-0019 body confirms unboundedness for the exact range the claim states ('for xi in (0,1/4] we have already shown that [the average] is unbounded from below', fulltext.md offset ~23499; example constructed for massless field, xi>0, 3+1 Minkowski, offset ~11778) and the generalised state-dependent QEI theorem for globally hyperbolic spacetimes, xi in [0,1/4], timelike geodesics, Hadamard states (offset ~17653); web search found no erratum or challenge. ANEC half broke under A4: the claim's regime (metric_family qft_curved_spacetime; invalid_outside lists only exact non-effective theories, trans-cutoff field values, xi>1/4) omits the assumption its QFT-ANEC conclusion needs — flat background or self-consistency. S-0020's own body restricts the semiclassical ANEC proof to Minkowski ('we recover ANEC for any coupling in Minkowski spacetime', offset ~40455; conclusion footnote in body.tex line 841: 'We presented a proof for Minkowski spacetime but we expect it could be extended to spacetimes with finite curvature as in Ref.~\cite{Kontou:2015yha}'), yet the claim asserts ANEC 'is obeyed both classically and in QFT' with no spacetime qualifier and concludes 'the escape survives only outside EFT control'. I then constructed the concrete in-regime counter-case from live literature: Urban & Olum, Phys. Rev. D 81, 024039 (2010), arXiv:0910.5925 (identifiers copied from INSPIRE record 835637 and the APS abstract page, not recalled) — a conformally coupled (xi=1/6, inside the claim's celebrated range) scalar on a fixed conformally flat 3+1 background, where vacuum-plus-two-particle states with perturbatively small excitations (no large/trans-cutoff field values; WebFetch of ar5iv confirmed test-field setup, small-alpha perturbative states, and that ANEC holds for this field in Minkowski) violate ANEC — including achronal ANEC, since all null geodesics in conformally flat spacetimes are achronal — by amounts tunable 'as large as desired'. Every condition the claim's regime block names is satisfied by this configuration, so the claim's central ANEC sentence and its 'only outside EFT control' conclusion are false as scoped. I also attacked the corpus-negative final sentence by scanning all 28 corpus sources for warp+non-minimal-coupling content (S-0018 conformal Weyl gravity is modified gravity, not a non-minimally coupled scalar; no corpus warp source uses non-minimal coupling) — that sentence survived. Reproduce: run find.py on corpus/S-0019/fulltext.md and corpus/S-0020/fulltext.md with patterns 'unbounded', 'ANEC', 'Minkowski', then fetch arxiv.org/abs/0910.5925. || FINDINGS: Decisive: (1) S-0020 body offset ~40455: 'we recover ANEC for any coupling in Minkowski spacetime. In the classical case we can do that, for bounded field values, for any spacetime curvature' — the QFT-level ANEC proof is Minkowski-only; conclusion footnote (body.tex:841) cites Kontou:2015yha for a hoped curved extension, and the authors thank Ken Olum. (2) Urban & Olum, PRD 81, 024039 (2010), arXiv:0910.5925: 'the averaged null energy condition can be violated by a conformally coupled scalar field in a conformally flat spacetime in 3+1 dimensions... dependent on the quantum state and can be made as large as desired... the achronal averaged null energy condition is likewise violated' — conformal coupling xi=1/6 is inside the claim's 0<xi<=1/4 range; construction is a test field with perturbatively small vacuum+two-particle excitations, i.e., inside 'field value controlled by the cutoff'; the claim's regime block contains no flatness or self-consistency assumption that would exclude it. (3) Therefore 'the ANEC... is obeyed both classically and in QFT' and 'The escape survives only outside EFT co