  We compute the transition rate of an Unruh-DeWitt detector coupled both to a
ground state and to a KMS state of a massless, conformally coupled scalar field
on a static BTZ black hole with Robin boundary conditions. We observe that,
although the anti-Hawking effect is manifest for the ground state, this is not
the case for the KMS state. In addition, we show that our analysis applies with
minor modifications also to the anti-Unruh effect on Rindler-AdS$_3$ spacetime.
