Direct connectedness conjecture for the Calabi–Yau web

A node of the Calabi–Yau web is a deformation class of Calabi–Yau threefolds, and its Picard number is denoted by $d70c$. Two nodes are directly connected when there is an arrow between them. Let $d70c_1$ and $d70c_2$ be the Picard numbers of nodes $d50c_1$ and $d50c_2$, respectively, with $d70c_1>d70c_2\geq 1$.

Direct connectedness conjecture. If $\mathcal{M}_1$ and $\mathcal{M}_2$ are nodes of the Calabi–Yau web with distinct Picard numbers $\rho_1>\rho_2$, then there exists a unique arrow

$$\mathcal{M}_1\stackrel{a}{\longrightarrow}\mathcal{M}_2.$$

This is presented as a stronger version of the Calabi–Yau web connectedness conjecture. The uniqueness is attributed in the source to a proposition on equivalence of nodes; the supplied text gives no resolution status.