  Neutrino-pair production and annihilation through nucleon-nucleon
bremsstrahlung is included in current supernova simulations by rates that are
based on the one-pion-exchange approximation. Here we explore the consequences
of bremsstrahlung rates based on a modern nuclear interactions for
proto-neutron star cooling and the corresponding neutrino emission. We find
that despite a reduction of the bremsstrahlung emission by a factor of 2-5 in
the neutrinospheric region, models with the improved treatment exhibit only
$\lesssim$5% changes of the neutrino luminosities and an increase of
$\lesssim$0.7 MeV of the average energies of the radiated neutrino spectra,
with the largest effects for the antineutrinos of all flavors and at late
times. Overall, the proto-neutron star cooling evolution is slowed down
modestly by $\lesssim$0.5-1 s.
