MRS collapse conjecture for localized Adams spectral sequences

Let $y(h)$ be the spectrum under consideration, and let $b_{h+i,j}$ denote the indicated classes in its localized Adams spectral sequence. MRS collapse conjecture. The classes $b_{h+i,j}$, or similar indecomposable classes, are permanent cycles in the localized Adams spectral sequence for $y(h)$. The conjecture concerns the unresolved possibility of differentials hitting these classes; no such differentials had been identified in the discussion, and permanence would yield the expected collapsed description of the spectral sequence.