Tropical tableau reflection equals evacuation

Let $T\in\operatorname{SSYT}(k,[n])$, let $\widetilde{\theta}$ be the tableau map defined from the reversed negative of the g-vector of $T$, and let $\operatorname{eva}$ denote evacuation.

Tilde-theta evacuation conjecture. For every $T\in\operatorname{SSYT}(k,[n])$,

$$\widetilde{\theta}(T)=\operatorname{eva}(T).$$

This is presented as an equivalent formulation of the second part of the preceding evacuation conjecture, assuming the tropical reflection conjecture. The supplied text gives no resolution status.