Shin–Zeng's enumeration conjecture for signed Simsun permutations

Let ${{\mathcal{RS}}}{{\textrm{I}}}_n$ be the set of signed permutations whose underlying permutation is Simsun, and let ${{\mathcal{RS}}}{{\textrm{I}}}^{(B)}_n$ be the subset satisfying the positivity condition on right-to-left minima in absolute value. For $1\le k\le n$, define

$${{\mathcal{RS}}}{{\textrm{I}}}^{(B)}_{n,k}:=\{\sigma\in{{\mathcal{RS}}}{{\textrm{I}}}^{(B)}_n:\sigma_n=k\}.$$

Shin–Zeng's conjecture. For $1\le k\le n$,

$$v_{n,k}=\#{{\mathcal{RS}}}{{\textrm{I}}}^{(B)}_{n,n-k+1}.$$

This is an enumerative question concerning the numbers $v_{n,k}$ and signed Simsun permutations of type I; the supplied text does not state whether the conjecture has been resolved.