Type D Richardson-clan conjecture

Let $u$ and $v$ be type $D$ Weyl group elements satisfying the hypotheses of the paper's Bruhat-comparability lemma. Let $\gamma(u,v)$ be the clan associated to them by the type $B$ Richardson-clan construction, omitting case (5).

Type D Richardson-clan conjecture. The statement of the type $B$ Richardson-clan conjecture also holds in type $D$.

Thus the conjecture predicts the same identification between the relevant type $D$ Richardson varieties and $L$-orbit closures, with the stated omission of case (5). It is used subsequently to formulate the type $D$ Schubert-constant rule; the supplied text gives no resolution evidence.