Generalized telescope conjecture for t-structures with definable co-aisle

Let $\mathcal{D}$ be a compactly generated triangulated category, and let $\mathbf{t}$ be a t-structure in $\mathcal{D}$ with definable co-aisle.

Generalized telescope conjecture. The assertion is exactly the stable telescope conjecture, or equivalently its ideal-theoretic reformulation, with $\mathbf{t}$ a t-structure in $\mathcal{D}$ with definable co-aisle.

This generalizes the stable formulation from smashing semiorthogonal decompositions to t-structures with definable co-aisles. The supplied passage does not state whether this generalized conjecture is resolved.