The autocorrect-sequence conjecture for finite simple groups

Let $\overrightarrow{u}$ be an autocorrect sequence, and let a $\overrightarrow{u}$-Engel automorphism mean an automorphism satisfying the corresponding Engel condition. Let $G$ be a finite simple non-abelian group. Simple-group autocorrect-sequence conjecture. There exists an autocorrect sequence $\overrightarrow{u}$ such that no finite simple non-abelian group $G$ has a non-trivial $\overrightarrow{u}$-Engel automorphism. The paper describes this as an a priori weaker possible replacement for the conjecture concerning products of isomorphic simple groups; the supplied text gives no resolution status.