The disguised residual intersection conjecture

Let $(R,\mathfrak{m})$ be a Cohen–Macaulay local ring of dimension $d$, let $I$ be an ideal satisfying the sliding depth condition, and let $\mathfrak{a}\subseteq I$ define an algebraic $s$-residual intersection $J=\mathfrak{a}:I$. The disguised residual intersection conjecture. If

$$\operatorname{depth}(R/I)\geq d-s,$$

then the disguised $s$-residual intersection of $I$ coincides with the algebraic $s$-residual intersection $J$. This conjecture would imply the Cohen–Macaulayness of algebraic residual intersections under the sliding depth condition; its general validity is not established in the source.