Uh... more importantly: this scenario just reverses us back to the not-cryonics position because it's simply a failure state for the strategy.
I don't think so, since access to life-prolonging technology might keep you alive long enough to get access to even better life-prolonging technology, and so on.
From Mike Darwn's Chronopause, an essay titled "Would You Like Another Plate of This?", discussing people's attitudes to life:
Conclusion, graphs, and references in article. As usual, I recommend reading Chronopause.com as Darwin has many good articles; to quickly link a few: