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In this comment on arXiv:2308.07360 it is pointed out that though the authors raise an important question on the prevailing presentations of the unimodular gravity their own presentation is incomplete as well as confusing equating assumptions to misconceptions. We focus on the notion of diffeomorphism invariance, general covariance and the conservation/nonconservation of the energy-momentum tensor in this short note to delineate the fundamental issues in unimodular gravity. The present discussion is intended to offer a wider and deeper perspective on the objective set by the authors in their paper.

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