The maximal obstruction conjecture for the monic integer transfinite diameter

Let $I$ be an interval of length less than $4$. A maximal obstruction for $I$ is an obstruction whose value is maximal among the obstructions considered for $I$; denote its value by $m$. Maximal obstruction conjecture. If $I$ has a maximal obstruction $m$, then

$$t_{\mathrm{M}}(I)=m.$$

This conjecture is stated as implying both the Farey interval conjecture and the zero-endpoint interval conjecture. Its status is not resolved in the supplied text.