Summary: Several authors have argued that the response of a uniformly accelerated particle detector coupled to a massive scalar field is independent of the mass. We refute this argument in part II by pointing out where it has gone wrong and by giving a straightforward proof that the response must depend on the mass. We also show that the response function tends to zero exponentially as the mass increases. In passing we note the peculiar phenomenon: When the mass is zero and the dimension of the spacetime manifold is odd, the response is characterized by a Fermi-Dirac spectrum rather than a Planckian one.