This preprint studies a finite-dimensional projection-order defect in residual metric audits. In a positive weighted two-way table, product weights are equivalent to orthogonality of the centered row and column main-effect spaces and to order-independence of two declared sequential stripping maps. Under non-product weights, an exact rational 2 x 2 witness shows that a wrong sequential stripping order can create a nonzero procedural output for a pure-main-effect object whose true additive residual is zero. The result is intentionally bounded: it is a finite mathematical note and a starting point for black-box evaluation methodology, not a broad new ANOVA theory, not an empirical MaoField positive result, and not a claim that language-model residual, interaction, transport, or holonomy fields have been observed. The accompanying Open-MaoField repository release provides the exact certificate, deterministic regression harness, source files, and claim-boundary notes.
Yifan Chen (Sat,) studied this question.