Tilting conjecture for silting objects over d-representation infinite algebras

Let $A$ be a $d$-representation infinite algebra, meaning that $A$ is finite dimensional, $\operatorname{gl.dim} A\leq d$, and $\nu_d^{-n}A\in\operatorname{mod} A\subseteq\operatorname{per} A$ for every $n\geq0$. Let $T\in\operatorname{silt}^d A$.

Silting mutation conjecture. Then $T$ is tilting and $\operatorname{End}_A(T)$ is a $d$-representation infinite algebra.

The preceding theorem proves this conclusion for silting objects obtained by a specified silting mutation, under the additional inequality $\mu^-_P(A)\geq\nu_d^{-1}A$. The conjecture asks whether the same property holds for every $T\in\operatorname{silt}^d A$.