I don't know about the re-release of the C22, but the original C11/C22 does not have a turn on thump, nor a response to DC, as its main output is capacitively coupled from a cathode follower output stage configuration. Therefore, even with a SS power supply, the turn on charge of the output coupling cap only ramps up at the rate that the final 12AX7 begins to conduct. Quick power burps are a different matter of course, where sKiZo's answer is perfect.
I believe that the re-issue C22 uses an extra tube over the configuration of the original designs, and it may be that the main output is now obtained from an anode follower configuration. If that is the case, then that configuration, combined with a SS power supply, and no delayed output muting, would definitely spike the output of a DC coupled power amp to power rail output levels at a cold turn on.
Dave