This left me with the impression that the chances of the average cryopreserved person today of being later revived aren't great

It may be that people cryopreserved today will not be among the 'first batch' of people revived. The damage caused by ice could be repairable, but it might require more advanced nanotech, and perhaps some 'filling in' of lost information. I wouldn't be surprised if frozen people were revived in batches, starting from the most recently frozen ones, finally ending with those frozen in the 20th century.