Tameness of imaginaries for finite definable equivalence relations

Let ${\mathcal T}_{\infty}$ be the theory under consideration, and let $\sim$ be a definable equivalence relation over ${\mathcal T}_{\infty}$. The relation is finite if its equivalence classes are finite, and it is tame over ${\mathcal T}_{\infty}$ in the sense of the paper. Tameness conjecture for imaginaries. If $\sim$ is finite and tame over ${\mathcal T}_{\infty}$, then the imaginaries of $\sim$ are tame over ${\mathcal T}_{\infty}$. This is presented as a conjecture about elimination or tameness of imaginaries in the relevant valued-field theory; the supplied excerpt gives no evidence of a resolution.