Guan's conjecture on equations of secant varieties of Chow varieties

Let $X\in \mathbb{P}W^*$ be an algebraic variety, let $\sigma_r(X)$ denote its $r$-th secant variety, and let $I_\delta(Y)$ denote the degree-$\delta$ component of the ideal of a variety $Y$. For $\delta=kr+l$ with $0\leq l<r$, choose $\vec{\delta}$ so that

$$\delta_1=\cdots=\delta_l=k+1,\qquad \delta_{l+1}=\cdots=\delta_r=k.$$

Let $F_{\delta_1,\delta_2,\ldots,\delta_r}$ and $A_{\vec{\delta},i}$ be the maps and subspaces defined in the paper. Guan's conjecture.

$$I_\delta(\sigma_r(X))=F_{\delta_1,\delta_2,\ldots,\delta_r}^{-1}(A_{\vec{\delta},1}+\cdots+A_{\vec{\delta},r}).$$

This conjecture proposes a uniform description of the degree-$\delta$ equations of secant varieties using the maps arising from the paper's prolongation and polarization constructions. The supplied text gives no resolution, so the conjecture remains open.