Dimension-bound conjecture for the non-open locus of enhanced quiver varieties

Let $\Lambda_{(r_i),I}$ be the enhanced quiver variety, let $\Lambda^\circ$ denote its specified open locus, and let $d_{(r_i),I}$ be its expected dimension. Dimension-bound conjecture. One has

$$\dim\bigl(\Lambda_{(r_i),I}\setminus\Lambda^\circ\bigr)\leq d_{(r_i),I}-2.$$

This bound is introduced as a reduction of the normal complete-intersection conjecture: establishing it would control the complement of the smooth or well-behaved locus and imply the desired normality statement. Its general validity is not established in the supplied text.