Dao–Kurano's dimension-bound vanishing conjecture for the Hochster theta pairing

Let $A$ be a local hypersurface of Krull dimension $d$ with an isolated singularity, and let $M$ and $N$ be finitely generated $A$-modules. The Hochster theta pairing is defined by

$$\theta(M,N)=l(\operatorname{Tor}_{2i}^{A}(M,N))-l(\operatorname{Tor}_{2i+1}^{A}(M,N)),\qquad i\gg0.$$

Dao–Kurano's conjecture. If $\dim(M)\leqslant \frac{d}{2}$, then

$$\theta(M,N)=0.$$

This is one of Dao–Kurano's conjectures on the vanishing of the Hochster theta pairing for modules over isolated hypersurface singularities. The supplied source does not state whether this particular assertion has been resolved.