The diagonal is different

For the charged current, one must retain the complex first jet of $H_{\beta }$, as in I-B-VP-0 CheungIBVPZero (:imaginary, :current). The global theorem does not turn that prescription into the real-part stress prescription.

The apex finite parts of I-B-VP-1 concern one-point distributions in a separately declared completion CheungIBVPOne. Their contact parameters neither change $W_{\beta }$ on $M\times M$ nor provide an extension of its two-point kernel to $\mathcal{W}$.