Extension of the maximal-rank corollary beyond the bound on b

Let $A$ be the Artinian algebra and let $\times L^b$ denote multiplication by the $b$-th power of a general linear form as in Corollary. The corollary currently assumes $b\leq t$. Extension conjecture. Corollary holds without the assumption that $b\leq t$. The authors note that this is supported by the example $s=5$ and $t=14$, where failure of maximal rank occurs only for $b=5,10,15$, but the general assertion remains unproved.