A scalar model of the coordinate contraction

The corresponding Hadamard product

satisfies the product criterion everywhere: $l$ and $p$ have the same fixed Hadamard orientation, so $l=-p$ is impossible. It also has a sum-zero wavefront bound in three slots.

This distinction explains why admission of a fixed-width Wick monomial is not admission of its time-ordered product with a local vertex.

The ordinary small-diagonal extension of the local fish does not settle (eq:triangle): $\mathcal{N}$ has points away from the total diagonal. Derivative and tensor cancellations, or cancellations between terms in the complete retarded product, may change the answer. They have not been evaluated here.

Accordingly, the full nonlocal ${\mathsf{L}}_{\alpha }$ is recorded as unconstructed, not as proved impossible.