2d log-concavity conjecture for Links–Gould coefficients of alternating links

Let $L$ be an alternating link, and write

$$\mathrm{LG}(L;t_0,t_1)=\sum_{i,j}a_{ij}t_0^i t_1^j.$$

A two-indexed sequence $(b_{ij})$ is 2d log-concave if, for every $i,j,k,l\in\mathbb Z$,

$$b_{i+k,j+l}b_{i-k,j-l}\leq b_{ij}^2.$$

2d log-concavity conjecture. The absolute values $(|a_{ij}|)$ form a 2d log-concave sequence with no interior zeros. This conjecture is proposed as a bidimensional analogue of log-concavity for Alexander-polynomial coefficients; the supplied source gives no resolution.