  We demonstrate that an absolutely flat band retains the superconducting state
at $T_c\to 0$. When $T_c>0$ the flat band disappears, since it must be modified
by the superconducting state. Thus, a number of the results on ultra-strong
coupling superconductivity in flat band considered in the article ("Evidence
for Dirac flat band superconductivity enabled by quantum geometry", Nature 614,
440 (2023)) were predicted and explained many years ago. One has to take into
account that at $T_c>0$ the flat band distorts, becoming tilted. As a result,
the charge carriers' velocity $v_F\propto T_c$ becomes finite, rather than
being extremely slow, as it is stated in the article. Thus, the statement "the
charge carriers' group velocity $v_ F$ is extremely slow" is incorrect and
leads the authors to the conceptional misunderstanding, confusing the reader.
