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In the paper by Jo\~ao F. Melo "The propagator matrix reloaded" (SciPostPhys. Core 6, 019 (2023), arXiv:2112.09119) the author provides a derivation ofa formalism which includes interactions in the initial conditions fornon-equilibrium quantum field theory. The main statement of this paper is thatone cannot ignore interactions in the initial conditions, so quantum fieldtheories at finite temperature are not free in the infinite past. In thiscomment we revise in details calculations from the section 5 of the paper anddemonstrate explicitly that the main statement of this paper should bereconsidered.

Comment on the paper SciPost Phys. Core 6, 019 (2023) by Jo\~ao F. Melo (arXiv:2112.09119)