Full embedded contact knot homology conjecture for knots

Let $K$ be a knot in a contact three-manifold $Y$, and let $\alpha$ be any contact form on $Y$ adapted to $K$. Denote by $ECK(K,Y,\alpha)$ the full embedded contact knot homology and by $HFK^{+}(-K,-Y)$ the corresponding knot Floer homology. Full embedded contact knot homology conjecture. One should have

$$ECK(K,Y,\alpha)\cong HFK^{+}(-K,-Y).$$

This is proposed as the full-version analogue of the hat embedded-contact/knot-Floer correspondence. The paper does not provide a resolution status.