As an illustration of the subtlety, consider immersed Lagrangians $L$ built as the cone of $L_{2}\xrightarrow{\gamma}L_{1}[1]$. Replacing $\gamma$ by $c\gamma$ for $c>0$ results in new bounding cochain structures on $L_{1}\cup L_{2}$, but the distance between these brane structures is zero. The limit $c\to 0$ however belongs to a different $D^{b}Fuk(X)$ class. This suggests our formulation of weak Lagrangian branes is probably not sufficient to distinguish between several derived category classes.