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We give a new proof of the derived equivalence of a pair of varietiesconnected by the flop of type $C_2$ in the list of Kanemitsu arXiv:1812.05392,which is originally due to Segal. We also prove the derived equivalence of apair of varieties connected by the flop of type $A^G_4$ in the same list. Thelatter proof follows that of the derived equivalence of Calabi--Yau 3-folds inGrassmannians $\text{Gr}(2,5)$ and $\text{Gr}(3,5)$ by Kapustka and RampazzoarXiv:1711.10231 closely.

Derived equivalences for the flops of type $C_2$ and $A^G_4$ via mutation of semiorthogonal decomposition