Asymptotic density conjecture for cyclic Drinfeld-module structures

Let $L=F_{q^{n}}$ be a finite field, let $P$ be the $A$-characteristic of $L$, let $m=[L,A/P]$, and let $d=\operatorname{deg}P$. Let $C(d,m,q)$ and $C_{0}(d,m,q)$ denote the two quantities considered in the source. Asymptotic density conjecture. For these parameters,

$$\lim\limits_{q\rightarrow \infty }C(d,m,q)=\lim\limits_{q\rightarrow \infty }C_{0}(d,m,q)=1.$$

The preceding calculations establish the assertion for $md\leq 2$. The conjecture extends this limiting behavior to the general values of $d$ and $m$ considered by the paper, but the supplied text gives no proof or resolution beyond the low-dimensional cases.