  In a recent paper (Commun. Phys. 3, 100) Znidaric studies the growth of
higher Renyi entropies in diffusive systems and claims that they generically
grow ballistically in time, except for spin-1/2 models in d=1 dimension. Here,
we point out that the necessary conditions for sub-ballistic growth of Renyi
entropies are in fact much more general, and apply to a large class of systems,
including experimentally relevant ones in arbitrary dimension and with larger
local Hilbert spaces.
