Supersingular Heegner-point corank conjecture for strong Weil curves

Let $E$ be an elliptic curve over ${\mathbb{Q}}$, let $K$ be an imaginary quadratic field, let $p$ be a prime, and let $K_{\infty}/K$ be the anticyclotomic ${\mathbb{Z}_p}$-extension with Galois group $\Gamma$. Let $E'$ be a strong Weil curve in the isogeny class of $E$, and let $\alpha'_n\in E'(K_n)$ be the associated Heegner points. Write $\overline{\Lambda}=\Lambda/p\Lambda$, where $\Lambda={\mathbb{Z}_p}[[\Gamma]]$. Supersingular Heegner-point corank conjecture. Assume that $p$ splits in $K/{\mathbb{Q}}$ and $E$ has good supersingular reduction at $p$. Then the $\Gamma$-submodule of $E'(K_{\infty})/p$ generated by the Heegner points $\alpha'_n$ has $\overline{\Lambda}$-corank greater than or equal to two. This predicts that the Heegner points contribute at least two independent directions in the mod-$p$ anticyclotomic tower in the supersingular setting; the source states the claim as a conjecture without giving a resolution.