Let $X,\hat{X}$ be generic mirror Calabi–Yau $3$-folds. Then even if there do exist special Lagrangian fibrations $f:X\rightarrow B$ and $\hat{f}:\hat{X}\rightarrow\hat{B}$, it is not in general possible to homeomorphically identify the bases $B$ and $\hat{B}$ of the fibrations in a way that identifies the discriminants $\Delta_{f}$, $\Delta_{\smash{\hat{f}}}$ of $f,\hat{f}$, and so that the nonsingular fibres of $f,\hat{f}$ are $3$-tori with dual homology.