I happen to know some people in the cryonics community and know a bit about their methods, so I think I can speak with some authority.
Realistically, nobody suspended before the Twilight war has any chance of survival. Today all cryopreserved people are in a few locations (Chicago, Phoenix, maybe somebody in Florida and a few in Moscow, I think). IMHO, they all are close enough to primary targets to get wiped out in a serious thermonuclear exchange. While secure, the facilities are not bunkers and will not handle nukes. Worse, the cooling method is liquid nitrogen refills every few weeks (apparently more reliable than using the power grid). Once the infrastructure breaks down and LN becomes scarce, the cryonauts end up permanently dead.
For game purposes this might be less of a problem. Cryo facilities could have been located somewhere relatively unhurt like France, Scandinavia or Japan and somehow avoided LN shortages.
Whether cryofirms could persist to 2300 is an open question; if they turn into generational "sects" where the ancestors of the generation running them currently are preserved maybe they would get enough cohesions to persist. Each generation want to help their dear parents, so they continue to run the facility and recruit new people. Lots of interesting potential here for internal feuds, fierce resistance to outside demands etc.
As for the real-world feasibility of cryonics I think it is slim - not zero, but not very certain (still, it beats being guaranteed dead). The ice crystal issue is actually manageable by using cryoprotectants that prevent crystal formation and vitrifies tissue. Cryopreserved brain tissue looks good and retains LTP (long term potentiation, the basis for memory storage) in synapses. The cracking risk is serious, and if revival is supposed to happen by some kind of gradual thawing those cracks are going to become cuts - I doubt that approach would work. A more plausible revival process would involve nanoscale reconstruction of tissues, which would fix cracks, illnesses, ageing - you name it. But that is beyond 2320 tech.
However, for game purposes I do not see a huge problem with positing that a few *really* lucky cryonauts that were preserved in the past and against all odds avoided being thawed *and* had sufficiently good preservation around now get restored by a Life Foundation project - sure, they have had most of their destroyed bodies replaced by cloned organs and their identities might be a bit fuzzy thanks to all the replacement stem cells, but they are alive and walking!
I think cryonics in 2320 is used in niche situations. Most really wounded people can be put in an automed or pentapod life support creature. Cryopreservation is a rather cumbersome procedure requiring nurses and equipment (fast cooling is necessary, but you can't just freeze from the outside, you have to pump cooling solution through the circulatory system). Cryotanks are bulky, heavy and have to be handled carefully (cracking!).
I would guess cryonics to be used mainly for 1) handling some patients with particular illnesses (since cryonics is unlikely to be mild on the body it is not what you would like to subject a very frail or very wounded patient to), 2) berths on long-range expeditions, 3) maybe a form of escape pod and 4) like now, a form of burial/insurance for the day medicine becomes *really* advanced.
For some real-world stuff that can be fun or useful for a cryonics adventure, check out the website of the
cryonics company Alcor. They have some pretty in depth FAQs on the issues involved, many of which could make great adventure ideas (treasure hunts for old possessions stored in mine shafts, legal shenanigans, etc)