A regular zero-area singularity with a nonzero weak Bianchi defect

We give a counterexample to the geometric regular-zero-area-singularity implication in the Oberwolfach report conjecture (problem 30004807 / OWR-8415343-010), under the cited Burtscher-Kiessling-Tahvildar-Zadeh convention of smooth compactly supported vector fields reaching the retained inner boundary and regularity of the static spacelike slices. The spacetime is a negative-mass specialization of the known Dadhich-Kar-Mukherjee-Visser metric, whose tensor formulas are credited. Its static slices have harmonically regular zero-area singularities of mass -2a. We prove absolute convergence of the complete weak Bianchi scalar for every permitted test and compute an explicit nonzero boundary functional, with value -8 pi for a normalized radial test. The boundary-flux method is credited to the existing literature; convergence is established directly, without invoking a sufficient theorem outside its hypotheses. The example violates the null energy condition. Added energy conditions, prescribed matter models, arbitrary tilted-slice regularity, collapsed-point test fields and the wider matter/evolution program are outside the claim. No new metric, new tensor formula, new general boundary theorem, historical first priority or continued-openness certificate is claimed. The priority search is extensive but bounded. Unrefereed research note, with no independent human peer review. AI tools were used extensively in solving, drafting, independently auditing, checking computations and preparing the materials. AI-assisted reviews are not formal verification or human peer review. The deposit includes a self-contained analytic proof and a portable verification archive with preserved historical inputs and independent reproducible consistency checks; finite checks do not prove quantified conclusions.