The noncommutative main conjecture for the adjoint Selmer group

Let $\mathbb I$ be the coefficient algebra, let ${\mathcal G}$ be the relevant Galois group with subgroup ${\mathcal H}$, and let $\mathfrak M^{\mathbb I}_{\mathcal H}({\mathcal G})$ be the corresponding Selmer-module category. Let $E_\infty$ denote the extension under consideration, and let $\mathrm{Sel}^\ast_{E_\infty}(\mathrm{Ad}^0(\rho))$ be the dual Selmer group attached to the adjoint representation.

Adjoint Selmer-category conjecture. The dual Selmer group $\mathrm{Sel}^\ast_{E_\infty}(\mathrm{Ad}^0(\rho))$ is in the category $\mathfrak M^{\mathbb I}_{\mathcal H}({\mathcal G})$.

The statement is presented as a hoped-for generalization of a cited noncommutative main-conjecture result. No resolution is given in the supplied text.