  In a recent letter, Fytas et al. [Phys. Rev. Lett. 122, 240603 (2019)] study
the critical point of the equilibrium random-field Ising model (RFIM) in $D=5$
by means of state-of-art zero-temperature lattice simulations. We show that
their numerical results concerning the virtual absence of violation of
supersymmetry and the characterization of the main corrections to scaling are
in full agreement with our predictions by means of a nonperturbative functional
renormalization group and with the existence of a critical dimension
$D_{DR}\approx 5.1$ above which supersymmetry and dimensional reduction are
valid at the fixed point and below which they break down.
