The squarefree Veronese Stanley depth formula conjecture

Let $K$ be a field, let $S=K[x_1,\dots,x_n]$, and let $I_{n,d}$ be the ideal generated by all squarefree monomials of degree $d$ in $S$. For positive integers $d$ and $n$ with $1\leq d\leq n$, write $\operatorname{sdepth}(I_{n,d})$ for its Stanley depth. Squarefree Veronese Stanley depth conjecture. For every $1\leq d\leq n$,

$$\operatorname{sdepth}(I_{n,d})=\left\lfloor\frac{\binom{n}{d+1}}{\binom{n}{d}}\right\rfloor+d.$$

This conjecture generalizes the paper's main theorem and is supported by the bounds and cases established there. The source does not give a resolution status for the full formula.