Shokurov's strong epsilon-lc complement conjecture

Let $(X/P\ni Z,K_X+B)$ be a $d$-dimensional $b5$-lc weak log Fano pair. An $(b5,n)$-complement over $P$ (respectively in codimension $2$) is an $b5$-lc complement satisfying the stated complement index and coefficient conditions.

Strong $b5$-lc complement conjecture. For every $0<b5$ and $d$, there exists a finite set $a9_{b5,d}$ of positive integers such that every such pair has an $(b5,n)$-complement over $P$ (respectively in codimension $2$) for some $na9_{b5,d}$.

This is the stronger uniform boundedness statement for complements, without prescribing a DCC coefficient set. The source relates it to the usual boundedness conjecture for lc complements.