Nonvanishing conjecture for the mirror-quintic Wronskian pullback

Let

$$\psi_0(t)=\sum_{n\geq0}\frac{(5n)!}{n!^5}t^n,$$

and

$$\psi_1(t)=\log(t)\psi_0(t)+\sum_{n\geq0}\frac{(5n)!}{n!^5}\left(\sum_{k=n+1}^{5n}\frac{1}{k}\right)t^n.$$

Define the Wronskian

$$W(t)=\psi_0(t)\psi_1'(t)-\psi_0'(t)\psi_1(t),$$

and let $F=W\circ\lambda$, where

$$\lambda(q)=\frac{q}{5^5}\left(\frac{\sum_{n\in\mathbb Z}q^{n^2+n}}{\sum_{n\in\mathbb Z}q^{n^2}}\right)^4$$

for $q$ in the punctured unit disc $\Delta^*=\{q\in\mathbb C:0<|q|<1\}$. Wronskian nonvanishing conjecture. The pullback $F$ vanishes nowhere on $\Delta^*$. This nonvanishing would establish the relevant mirror-quintic case of the equality conjecture by producing a flat section avoiding the bad locus; the source does not report a proof or disproof.