Owens' H-thin concordance invariant conjecture for delta

Let $K$ be a knot. Write $\sigma'(K)=-\sigma(K)/2$ for the normalized knot signature, let $\delta(K)=2d(\Sigma(K),\mathfrak{t}_0)$ be the concordance invariant from the branched double cover, and call $K$ H-thin when its Khovanov homology is supported on two adjacent diagonals.

Owens' H-thin conjecture. For any H-thin knot $K$,

$$\delta(K)=\sigma'(K).$$

The equality is known for alternating knots and for knots admitting diagrams with at most nine crossings, and the computations described in the source support the claim for the broader class of H-thin knots. Its general validity remains open.