The confluence-relations conjecture for multiple zeta values

Let $\mathcal{A}^{0}$ be the algebra of admissible words, let $L:\mathcal{A}^{0}\to\mathbb{R}$ be the map whose values are multiple zeta values, and let $\mathcal{I}_{{\rm CF}}$ denote the space of confluence relations. Confluence-relations conjecture. The confluence relations exhaust all the relations of the multiple zeta values, i.e.,

$$\mathcal{I}_{{\rm CF}}\otimes\mathbb{Q}=\operatorname{ker}(L:\mathcal{A}^{0}\to\mathbb{R})\otimes\mathbb{Q}.$$

This asserts that every rational linear relation among multiple zeta values is generated by confluence relations. The source provides no evidence that the conjecture has been resolved, so its status remains open.