The modified ghost conjecture for 2-adic slopes

Let $N$ be a positive integer, let $p=2$ be a $\Gamma_0(N)$-regular prime, and let $G^\circ_\kappa$ be the modified ghost series incorporating the fractional repeated slopes from the spaces $S_k(\Gamma_0(N)\cap\Gamma_1(8),\eta_8^{\pm})$. Let $P_\kappa$ be the corresponding Fredholm series, and write $\operatorname{NP}(-)$ for the Newton polygon.

Modified ghost conjecture. For each $\kappa\in\mathcal W$,

$$\operatorname{NP}(G^\circ_\kappa)=\operatorname{NP}(P_\kappa).$$

The modification is designed to account for non-integral repeated slopes that the original ghost series does not detect at $p=2$ and higher tame level. The claim is presented as a proposed salvage of the ghost conjecture and is not resolved in the source.