Cartier--Nishi duality conjecture for two-dimensional triangular t-modules

Let $\psi_1$ and $\psi_2$ be Drinfeld modules, let $\delta:\mathbb{F}_q[t]\to K\{\tau\}$ be a biderivation, and let

$$\Upsilon=\Upsilon(\psi_1,\psi_2,\delta)$$

be the associated triangular $\mathbf{t}$-module. Assume that $\Upsilon$ is without nilpotence and that

$$\operatorname{rk}\psi_1>\operatorname{rk}\psi_2>1.$$

Cartier--Nishi duality conjecture. The Cartier--Nishi theorem holds for $\Upsilon$.

The conjecture is motivated by computations of the polynomial families associated with these triangular modules and concerns the difficult cases of Cartier--Nishi duality. The supplied text gives computational evidence but does not state a proof or a resolution.