McKernan's stronger ACC conjecture for interpolated lc thresholds

Let $(X,B)$ be a pair of dimension $d$, let $\mathcal{F}$ be a foliation on $X$, and write $B=B^{\operatorname{ninv}}+B^{\operatorname{inv}}$ so that $(X,\mathcal{F},B^{\operatorname{ninv}})$ is a foliated triple. McKernan's stronger ACC conjecture. For every positive integer $d$ and DCC set $\Gamma\subset[0,1]$, there is an ACC set $\Gamma'$ such that

$$\sup\{t\in[0,1]\mid (X,\mathcal{F},B^{\operatorname{ninv}}+(1-t)B^{\operatorname{inv}},t)\text{ is lc}\}\in\Gamma'.$$

The conjecture is proposed as a more general form of McKernan's ACC conjecture and remains open, including in dimension two.