Full $L^2$-Alexander torsion conjecture for knot genus

Let $K$ be an oriented knot. Full $L^2$-Alexander genus conjecture. The full $L^2$-Alexander torsion satisfies

$$\deg\left(\tau^{(2)}(K)(t)\right)=2\operatorname{genus}(K)-1.$$

This would make the full $L^2$-Alexander torsion a sharp genus invariant. The source reports partial evidence: for every oriented knot, an epimorphism onto a virtually abelian group is stated to attain the same degree, but the full conjecture remains open.