Ravenel's telescope conjecture for compactly generated triangulated categories

Let $\mathcal{D}$ be a compactly generated triangulated category, and let $\mathbf{t}=(\mathcal{X},\mathcal{Y})$ be a smashing semiorthogonal decomposition of $\mathcal{D}$.

Ravenel's telescope conjecture. The decomposition $\mathbf{t}$ is compactly generated.

This is the general triangulated-category formulation of Ravenel's telescope conjecture. The conjecture was refuted for the homotopy category of spectra, so the claim is not true in full generality.