The telescope conjecture for module categories

Let $\Lambda$ be an artin algebra, and let $(\mathcal{A},\mathcal{B})$ be a hereditary cotorsion pair in the category of all left $\Lambda$-modules. A cotorsion pair is hereditary when $\operatorname{Ext}^i_\Lambda(\mathcal{A},\mathcal{B})=0$ for all $i\geq 2$; assume that $\mathcal{B}$ is closed under filtered colimits. The telescope conjecture for module categories. Every module in $\mathcal{A}$ is a colimit of a filtered system of finitely generated modules from $\mathcal{A}$. This is the paper's module-category formulation of the telescope conjecture; the surrounding discussion relates it to finite-type cotorsion pairs, but the source does not state a resolution here.