The squarefree-value conjecture for Drinfeld module sequences

Let $A$ be the polynomial ring in the paper, let $\phi$ be the given Drinfeld module, and let $a\in A$ be the fixed base. A polynomial has no square factors when it is squarefree, and having a non-zero derivative at $\theta$ means that its derivative does not vanish at $\theta$. Squarefree-value conjecture. There exist infinitely many $b\in a$ such that

$$\frac{\phi_b(a)}{a}$$

has no square factors and has a non-zero derivative at $\theta$. The conjecture is introduced as an assumption intended to establish the infinitude of non-$\phi$-Wieferich primes; the supplied text gives no resolution.