  We investigate the extension to finite temperatures and neutrino chemical
potentials of a recently developed nonlocal chiral quark model approach to the
equation of state of neutron star matter. We consider two light quark flavors
and current-current interactions in the scalar-pseudoscalar, vector, and
diquark pairing channels, where the nonlocality of the currents is taken into
account by a Gaussian form factor that depends on the spatial components of the
4-momentum. Within this framework, we analyze order parameters, critical
temperatures, phase diagrams, equations of state, and mass-radius relations for
different temperatures and neutrino chemical potentials. For parameters of the
model that are constrained by recent multi-messenger observations of neutron
stars, we find that the mass-radius diagram for isothermal hybrid star
sequences exhibits the thermal twin phenomenon for temperatures above 30 MeV.
