  In the abstract of~[Phys. Rev. Lett. {\bf 125}, 040601 (2020)] one can read
that: [...]{\it to have a nonzero rate of change of the extractable work, the
state $\rho_\mathcal{W}$ of the battery cannot be an eigenstate of a "free
energy operator", defined by $\mathcal{F}=H_\mathcal{W}+\beta^{-1}\log
\rho_\mathcal{W}$, where $H_\mathcal{W}$ is the Hamiltonian of the battery and
$\beta$ is the inverse temperature} [...]. Contrarily to what is presented
below Eq.~(17) of the paper, we observe that the above conclusion does not hold
when the battery is subject to nonunitary dynamics.
