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The titular manuscript invites a description of the background of research onMgB$_2$,whose unique electron-phonon coupling strength and recordsuperconducting T$_c$ for such a material at ambient pressure was demonstratedby the combined efforts of several groups two decades ago in terms ofconventional but highly developed Migdal-Eliashberg theory. This Commentprovides some of the basic features of the theoretical understanding of MgB$_2$and draws contrasts with the model of Yu {\it et al.}

Comment on "Nontrivial Quantum Geometry and the Strength of  Electron-Phonon Coupling", arXiv:2305.02340, J. Yu, C. J. Ciccarino, R.  Bianco, I. Errea, P. Narang, B. A. Bernevig