  In a recent manuscript Phys. Rev. Lett. 127, 197001 (2021) Puviani et al.
claim that the Higgs mode gives an enhancement of the Raman response in the
symmetric $A_{1g}$ Raman channel of cuprates. Here we report a series of
technical mistakes in their derivation that completely invalidate this
conclusion. In particular, the Raman response function contains two
renormalized vertices, with a clearly overcounting of diagrams and uncontrolled
results for the Higgs-mode contribution.
