Remark: Non-claim 12

No ultraviolet completion is claimed. No loops, no graph closure, and no singular extensions are claimed. The toy kernel and the inadmissible value of $g-1$ on ghost support are withdrawn. On shell, the analytic nonvanishing is for one massless special family and is conditional on inherited reduction identities. Bump membership is $\mathrm{supp}S=[2,3]$ with $S\in {C^{\infty }}_c(\mathbb{R})$. The one-plus-one calculation is a model variation, not an obstruction. Values for the superseded vector are withdrawn. Numerical evidence is corroboration, not a certificate. Sampling is not a universal-identity certificate. The graph-to-action vertex identification is unsettled. Theorem thm:massless-obstruction covers one constructed instance, not every kernel and not a fixed $m>0$. The prepared theory is not a BV complex. XV-B is not opened. No quantum coefficient is admitted. No compilation is asserted. No symbolic execution is claimed.