The closed-foam evaluation conjecture for instanton homology

Let $\Sigma$ be a closed foam in $\R^{3}$, and let $S$ be its underlying closed pre-foam. Let $\Jsharp(\Sigma)$ denote the instanton-homological evaluation of $\Sigma$, and let $\Jflat(S)\in\F$ be the evaluation defined by the proposed pre-foam rules. The closed-foam evaluation conjecture. For every such closed foam,

$$\Jsharp(\Sigma)=\Jflat(S).$$

This conjecture would identify the instanton-homological evaluation of closed foams with the combinatorial pre-foam evaluation. It is presented as one of two plausible conjectures arising from the unresolved well-definedness issue, and no proof or disproof is given in the supplied text.