  In a recent paper (Phys. Rev. D95, 103504 (2017)) it is argued that, due to
the fluctuations around its mean value, vacuum energy gravitates differently
from what previously assumed. As a consequence, the universe would accelerate
with a small Hubble expansion rate, solving the cosmological constant and dark
energy problems. We point out here that the results depend on the type of
cutoff used to evaluate the vacuum energy. In particular, they are not valid
when one uses a covariant cutoff such that the zero point energy density is
positive definite.
