From what we measured, the afterglow disappears almost completely after 200uS, this should be enough for the dead time. The afterglow and ionization are two different processes - the tube stays ionized (presence of electrically charged particles) around 1mS while the afterglow (presence of particles in an excited state). It is a good idea to keep the dead time higher than 200uS to make sure the afterglow disappears, but not longer than 1mS - after this time there might not be enough ionized particles to strike the next digit instantly.
There is also visible how fast the new digit strikes when there is no dead time left to deionize the gas - it is instant, well below 5uS resolution of the camera.