The scalar-switch defect: a separate classical identity

Equation (eq:switch-defect) has the form of the supplied VI switch identity CheungVI (:switch-defect, :plateau-obstruction), also copied in X-A's prerequisite sheet CheungXA. If $\xi$ is supported strictly where $g=1$ and $\mathrm{d}g=0$, the displayed defect vanishes. For larger supports the expression need not vanish. A correction beginning at second order cannot change its fixed first coefficient.

The first cancellation, larger-support defect, and plateau second-order intertwiner reported for VII-A belong to its own equations and transformations CheungVIIA,CheungXA. We record the analogy; we do not transfer its intertwiner or its nonvanishing witnesses to the comparison theorem.