Multiplicativity conjecture for the multivariable Alexander polynomial of annulus-summed swatches

Let $L_1\subset T^2\times I$ and $L_2\subset T^2\times I$ be an $m_1\times n$ swatch and an $m_2\times n$ swatch, respectively, where $m_1,m_2,n\in\{1,2,\ldots\}$. Let $H$ be the Hopf link and let $m\subset H$ be the specified component, with associated variable $t_1$. The links $H\cup f(L_1)$, $H\cup f(L_2)$, and $H\cup f(L_1*_mL_2)$ each have $n+2$ components. Multivariable Alexander-polynomial conjecture. The multivariable Alexander polynomial satisfies

$$\Delta_{H\cup f(L_1*_mL_2)}=\frac{\Delta_{H\cup f(L_1)}\,\Delta_{H\cup f(L_2)}}{(t_1-1)^n}.$$

Here $t_1$ is associated with the component $m\subset H$. This conjecture is proposed from computed data as a possible algebraic rule for meridional annulus sums and as a tool for classifying weft-knitted stitch patterns; no proof or resolution is supplied.