The cyclic-cellularity conjecture for affine cyclotomic wreath product algebras

Let $A$ be an algebra, and let $\mathcal{H}^{\mathbf{C}}_n(A)$ be the associated cyclotomic quotient. Assume that $A$ is cyclic cellular.

Cyclic-cellularity conjecture. If $A$ is cyclic cellular, then so is $\mathcal{H}^{\mathbf{C}}_n(A)$.

This would show that cyclic cellularity is preserved by the cyclotomic construction, providing a useful structural framework for studying its representations. The supplied text gives no evidence that the conjecture has been resolved.