The concordance-invariance conjecture for modulo-4 unreduced Khovanov ranks

Let $K\subset S^3$ be a knot, and let $\mathcal{A}$ be either $\mathbb{Q}$ or $\mathbb{F}_p$ with $p\ne 2$. Write $\operatorname{Kh}_{\mathcal{A}}(K)$ for unreduced Khovanov homology. Unreduced concordance-invariance conjecture.

$$\operatorname{rk}\operatorname{Kh}_{\mathcal{A}}(K)\pmod 4$$

is a concordance invariant of $K$.

This is the proposed concordance-level counterpart of the unreduced ribbon-knot rank conjecture. The paper does not state a resolution in the supplied text.