The $\mathcal{O}$-slice connectivity conjecture for the $RO(G)$-filtered Adams object

Let $G$ be a finite group and let $\mathrm{AN}^{RO}_G(\mathbb S)$ be the $RO(G)$-filtered Adams--Novikov object. Applying the totalization functor gives the filtered $G$-spectrum $\mathrm{Total}(\mathrm{AN}^{RO}_G(\mathbb S))$. $\mathcal{O}$-slice connectivity conjecture. The filtered $G$-spectrum $\mathrm{Total}(\mathrm{AN}^{RO}_G(\mathbb S))$ is connective in the $\mathcal{O}$-slice $t$-structure on $\mathrm{Fil}(\mathcal Sp^G)$. This is intended to provide the connectivity needed for the $RO(G)$-graded Adams--Novikov construction, but the source gives no evidence of a resolution.