Divisibility conjecture for the Gornik invariants

Let $K$ be a knot, and let $s_n(K)\in 2\mathbb{Z}$ denote the even integer determined by the Gornik homology of $K$ for each $n\geq 2$. Divisibility conjecture for the Gornik invariants. For any knot $K$ and $n\geq 2$, one has

$$s_n(K)\in 2(n-1)\mathbb{Z}.$$

This is presented as a weaker conjecture than the proportionality conjecture relating the invariants $s_m(K)$ and $s_n(K)$. The source gives no resolution, so the conjecture remains open.