  In a recent paper by Ambr\'osio et al. [arXiv:2405.14799], it was shown that
the gravitational force law of the Modified Newtonian Dynamics (MOND)
phenomenology can be derived within the framework of entropic gravity and the
holographic principle by assuming an entropy function other than the
conventional Boltzmann-Gibbs entropy. In particular, they derived the standard
interpolation function of MOND together with an analytical expression for the
acceleration constant $a_0$ by utilizing Kaniadakis' modified entropy. In this
short note, using the same methodology, we generalize this result and show that
MONDian behavior is a rather general consequence of combining entropic gravity
with non-Boltzmann-Gibbs entropies, which depends on only a few conditions
imposed on the generalized entropy function.
