Wildon's stability conjecture for plethysm coefficient sequences

Let $u$ and $\tau$ be arbitrary partitions, and let $min\mathbb{N}$. The notation $\mathsf{A}_{m-1,m}( u,\tau)$ denotes the associated sequence of plethysm coefficients. Wildon's stability conjecture. The sequence $\mathsf{A}_{m-1,m}( u,\tau)$ stabilises. The conjecture generalises the known eventual constancy result for $m=2$; the supplied source does not state that it has been resolved.