The Bousfield lattice quotient by strange classes

Let $r\colon\mathbf{B}\to\mathbf{DL}$ be the retraction map, and let $J$ be the principal ideal of strange Bousfield classes. The map $r$ factors through an epimorphism

$$r'\colon\mathbf{B}/J\to\mathbf{DL}.$$

The quotient-isomorphism conjecture. The epimorphism $r'$ is an isomorphism.

This would identify the quotient of the Bousfield lattice by the strange classes with the distributive lattice of closed Bousfield classes. The source gives no resolution.