Generalization of the main straight-shape theorem to skew shapes

Let $e$-small shapes be as defined in the paper, and let $[bc^*]$ and $[bb^*]$ denote the shapes appearing in Theorem MainStraight. The theorem currently assumes that these are straight shapes.

Skew-shape generalization. Theorem MainStraight holds more generally when $[bc^*]$ and $[bb^*]$ are $e$-small skew shapes rather than straight shapes.

This would extend the theorem beyond the straight-shape setting. The source presents it as an expected further generalization and gives no resolution, so it remains open.