Solvable-by-finite conjecture for superrosy definably amenable groups of thorn-rank 2

Let $T$ be a superrosy theory with NIP, and let $G$ be a group such that $G$, as well as every definable subgroup of $G$, is definably amenable, meaning that it has a left-invariant probability measure on its definable subsets. Assume that $G$ and every definable subgroup of $G$ have thorn-rank $2$.

Solvable-by-finite conjecture. Then $G$ is solvable-by-finite.

This conjecture is stated as a generalization of the preceding theorem for superrosy groups. The source gives no resolution.