The reverse-transition conjecture for f-mirror partners

Let $Y$ be a smooth complete variety with toric degeneration $Y_0$, let $Y_0^\vee$ be its $f$-mirror partner, and suppose there is a geometric transition

$$\widehat{Y}_0\longrightarrow Y_0\longleftrightarrow Y.$$

Let $k_Z$ and $m_Z$ denote the topological invariants used in the topological mirror-partner condition. Conjecture of reverse transition. There should exist a reverse geometric transition

$$\widehat{Y}_0^\vee\longrightarrow Y_0^\vee\longleftrightarrow Y^\vee$$

such that $Y_0$ is a topological mirror partner of $Y^\vee$, with

$$k_{\widehat{Y}_0}=m_{Y^\vee}\quad\text{and}\quad k_{Y^\vee}=m_{Y_0}.$$

In particular, $Y_0^\vee$ should be a toric degeneration of $Y^\vee$, so that $Y^\vee$ is the generic fiber of a flat family whose special fiber is isomorphic to $Y_0^\vee$. This conjecture is presented as a mirror-symmetric counterpart to the geometric transition and no resolution is supplied in the source.