Bohn–Cameron–Müller maximality conjecture for Tutte polynomial monodromy

Let $M=(E,\operatorname{r})$ be a connected matroid on finite groundset $E$ with $\operatorname{r}(M)>0$, and let $K$ be a field of characteristic zero. The group $G_{K,y}(T_M)$ is the Galois/monodromy group of the Tutte polynomial, acting as a permutation group on $\operatorname{r}(M)$ letters.

Bohn–Cameron–Müller's conjecture. The group $G_{K,y}(T_M)$ is maximal, i.e. it is isomorphic to the symmetric group on $\operatorname{r}(M)$ letters:

$$G_{K,y}(T_M)\cong\mathfrak S_{\operatorname{r}(M)}.$$

This conjecture predicts that the Galois/monodromy group associated with the Tutte polynomial of every connected matroid over a field of characteristic zero is as large as possible. The supplied source does not state that the conjecture has been resolved.