Comment on "Neutrino oscillations originate from virtual excitation of $Z$ bosons" and "Neutrinos produced from $\beta$ decays of neutrons cannot be in coherent superpositions of different mass eigenstates"

It was recently claimed (arxiv:2407.00954) that neutrino oscillations through conventional mass mixing are forbidden by energy conservation, and that they in fact arise from virtual $Z$ boson exchange. I explain why both claims, and therefore a repetition of these claims in arxiv:2410.03133, are incorrect.