  In a recent work by Capozzi et al (arXiv:1908.06992), it is observed that the
introduction of non-standard neutrino-matter interactions considerably relaxes
the preference of T2K and NO$\nu$A for normal over inverted mass ordering
observed in the standard three-neutrino scenario. Motivated by this, in this
note we update our previous global fit to investigate whether such result still
holds once the information of solar, atmospheric and reactor experiments is
taken into account. We find that the non-standard parameters responsible for
the improvement of the inverted ordering fit to T2K and NO$\nu$A data are not
compatible with the other oscillation experiments, and that the preference for
NO is restored.
