@wfz
That is a very good question, and it comes in two different flavor. Either you are referring to a profound hibernation, or a state of complete suspension. In the prior your brain would still be functional even if it were running at a very slow rate. While in the later all the matter in your body has ceased activity entirely. So for the first one there isn't any real conflict. A deep sleep being in no real sense any different from regular sleep.
However in the second case I would postulate that there would be a profound impact, because to put matter all the way down to a state of near motionlessness. You would have to bleed the energy out of the system. That can not be stopped. Your mind would simply bleed away via forces of quantum tunneling. Best case scenario would be upon reanimation is your brain spends a considerable amount of time misfiring as the previous inputs would have been lost. Worse case scenario is its impossible for a mind to emerge from a cold start. You would never be able to function. Your brain would never reassert itself in a controlled manner. Which would obviously kill the person.
People just aren't designed to be completely shut down. Doing so would probably be extremely dangerous, and it is hard to see justifying such as experiment. Besides it wouldn't be like living forever. It would be like being dead, because you would become nonliving matter, and with no energy in the system there would be no potential. It is hard to imagine that a mind can run around inside of a rock. Which is exactly what you would become.