The deformation-limit conjecture over a complex variety

Let $\pi:\mathcal{X}\rightarrow Y$ be a holomorphic family of compact complex manifolds over a complex variety $Y$, let $V\subset Y$ be a proper subvariety, and write $Y':=Y\setminus V$. Deformation-limit conjecture over a complex variety. If $X_t$ is Moishezon for all $t\in Y'$ (or projective for all $t\in Y'$), then $X_t$ is Moishezon for all $t\in V$. The paper states this as an equivalent global formulation of the two preceding deformation-limit conjectures; it is presented without a resolution.