Cho’s specialized intersection formula conjecture

Let $\{x_1,\dots,x_{n+h},y_1,\dots,y_{n-h}\}$ be a basis of $\mathbb{V}$ with moment matrix

$$B=\left(\begin{array}{ccc}T&&\\&I_h&\\&&\pi^{-1}I_{n-h}\end{array}\right),$$

where $T$ is an $n\times n$ matrix, and let $L=\operatorname{Span}_{O_F}\{x_1,\dots,x_n\}$. Cho’s specialized intersection formula conjecture.

$$\operatorname{Int}_{n,h}(L)=\operatorname{Int}_{n,h}(T)=\frac{1}{W_{n,n}(A_n,1)}\left\{W'_{n-h,n}(B)-\sum_{0\le i\le n-1}\beta_i^{n-h}W_{n-h,i}(B,1)\right\}.$$

This is the specialization of the preceding conjectural formula to the maximal-parahoric setting. The source does not state whether it has been resolved.