Some SF author here wanna pick up on this theme? This has potential, if the cryo is available equally to all comers in society, because I can't imagine how the world would look like — who'd "shape the time they're in" as some-specific-generation when people pop in and out of the progression of time liberally, century-hopping, taking a gander for a few years, then sleep through many more, then respawn once more.
Maybe one can leave specs for when to not thaw (wars, pestilence, famine, recession). No one's around for the bad times! Including whoever'd manage the cryo and thawings.
Paradoxical, someone go write that SF!