This is an excellent question. Strictly speaking, one should thermalize using imaginary time (fully thermostatted PIMD) trajectories,
and then launch simulations with no thermostat on the centroid. In practice, for a large enough system (a few 10s of atoms) the impact
of a global centroid thermostat on dynamical properties is minimal, and simplifies much the workflow.
I have run with pile-g and a centroid tau of 1fs, finding no appreciable difference in the spectra or diffusion coefficients, so 100fs is a pretty safe setting.