Signed Selmer cotorsion conjecture over the noncommutative extension

Let $F_{\infty}/F$ be the $\mathbb{Z}_p^d$-extension considered in the paper, let $G=\operatorname{Gal}(F_{\infty}/F)$, and let $\Sigma_{\mathrm{ss}}$ be the set of primes where $E$ has supersingular reduction. For each ${\vec{s}}\in\{+,-\}^{\Sigma_{\mathrm{ss}}}$, let $X^{\vec{s}}(E/F_{\infty})$ be the Pontryagin dual of the corresponding signed Selmer group. Signed Selmer cotorsion conjecture over $F_{\infty}$. For all choices of ${\vec{s}}\in\{+,-\}^{\Sigma_{\mathrm{ss}}}$, the Selmer group $X^{\vec{s}}(E/F_{\infty})$ is torsion over $\mathbb{Z}_p[[G]]$. This is presented as a natural generalization of the cyclotomic signed Selmer cotorsion conjecture, and the source gives no resolution.