Weighted-resolution conjecture for the Jablan polynomial

A pseudoknot $K$ has a WeRe set

$$S=\{(\alpha_1,K_1),\dots,(\alpha_n,K_n)\},$$

where the $K_j$ are classical resolutions with weights $\alpha_j$, and let $\Delta_J$ denote the Jablan polynomial. Weighted-resolution conjecture. There exists a choice of normalization rule for the Jablan polynomial such that, for every pseudoknot $K$ with WeRe set $S$,

$$\Delta_J(K)=\sum_{j=1}^n\alpha_j\Delta_J(K_j).$$

The conjecture would make the Jablan polynomial compatible with weighted sums over classical resolutions. The preceding examples show that suitable choices of normalization can produce agreement in particular cases, but the statement asserts that one normalization rule works for every pseudoknot.