The conjectural dichotomy for normal subgroups of mapping class groups

Let $N$ be a normal subgroup of either the orientation-preserving mapping class group $\operatorname{Mod}(S_g)$ or the extended mapping class group $\operatorname{MCG}(S_g)$. Normal-subgroup dichotomy conjecture. Either

$$\operatorname{Aut}N\cong\operatorname{MCG}(S_g),$$

or $N$ contains an infinitely generated right-angled Artin group with finite index. This conjectural dichotomy is motivated by the authors' theorem on normal subgroups and known exotic subgroup constructions, but it remains open.