Moishezon compactification is very important in the study of the moduli space of varieties which admit canonical metrics. Moishezon showed that any non-projective Moishezon manifold $X$, after a finite number of blow-ups with smooth centers, becomes algebraic projective.
Moishezon manifolds are closely related to Kähler-Einstein metrics with negative Ricci curvature. So this can be the motivation of my question. In fact we have the following characterization of Moishezon manifolds in the language of Kahler-Einstein metric
We know: Let $M$ be any compact complex manifold. Then $M$ is a Moishezon manifold if and only if there is a proper analytic subset $S\subset M$, such that $M\setminus S$ admits a complete Kähler-Einstein metric with negative Ricci curvature.
Question:Does the Gromov-Hausdorff compactification of the moduli space of Kähler-Einstein smooth manifolds of general type (or of negative constant scalar curvature) have the structure of a compact Hausdorff Moishezon space?
Is there any reference related to this question?