Zywina's generalized exceptional j-invariant conjecture

Let $H\leq\operatorname{GL}_2(\widehat{\mathbb{Z}})$ be an agreeable subgroup such that $X_H(\mathbb{Q})$ is finite, and let $x\in X_H(\mathbb{Q})$ be a non-special point.

Zywina's generalized conjecture. Then

$$j(x)\in J_{\rm exc}.$$

This combines the explicit uniformity conjecture with Zywina's conjecture for $A_{\rm finite}$, extending the exceptional-$j$ assertion to every agreeable subgroup with finitely many rational points. The source does not indicate that this combined conjecture has been resolved.