Dense-set equality of multiplier ideals and test ideals

Let $X$ be a smooth, irreducible complex algebraic variety and let $f\in\mathcal{O}_X(X)$ be nonzero. Choose a model $(X_A,f_A)$ over a finitely generated ${\mathbf Z}$-subalgebra $A\subseteq{\mathbf C}$, and for each closed point $t\in\operatorname{Spec}(A)$ write $(X_t,f_t)$ for its reduction to positive characteristic. After replacing $A$ by a localization if necessary, write $\tau(f_t^{\lambda})$ for the test ideal and $\mathcal{J}(f^{\lambda})_t$ for the reduction of the multiplier ideal. Dense-set equality conjecture. There is a dense subset $T$ of closed points in $\operatorname{Spec}(A)$ such that

$$\tau(f_t^{\lambda})=\mathcal{J}(f^{\lambda})_t\quad\text{for all}\quad t\in T,\lambda\in{\mathbf R}_{\geq 0}.$$

This asks for simultaneous equality of multiplier ideals and test ideals for every nonnegative real exponent along one dense set of reductions, strengthening the known statement that equality holds for each fixed exponent at sufficiently large residue characteristic. The problem remains open.