Generalized Trinity conjecture for Witt-equivalent modular tensor categories

Let $\CC_1$ and $\CC_2$ be Witt-equivalent modular tensor categories, and let $\CM$ be a gapped domain wall with

$$\FZ(\CM)\simeq\CC_1\boxtimes\overline{\CC_2}.$$

For a 1d condensable algebra $B\in\CM$, let $Z_l(B)$ and $Z_r(B)$ denote its left and right centers, and let $\phi$ be the induced braided equivalence between the corresponding local-module categories.

Generalized pull-open conjecture. Any stable gapped domain wall ${}_B\CM_B$ is equivalent to

$$(\CC_1)_{Z_l(B)}\boxtimes_{(\CC_1)^{loc}_{Z_l(B)}}\phi\boxtimes_{(\CC_2)^{loc}_{Z_r(B)}}\boxtimes(\CC_2)_{Z_r(B)}.$$

This proposes that stable walls between Witt-equivalent phases can be pulled open into condensations on the two sides joined by the induced equivalence. The source gives no evidence of a proof or resolution.