People could simply exchange their domestic currencies for foreign currencies of more stable countries. That's what happens in countries with hyperinflation right now, despite access to cryptocurrency.
The only real advantage of cryptocurrency is that it could be transferred around hypothetical government controls. That's more of an extreme edge case scenario, though.
To be clear: The US inflation is too high, IMO, but it's nowhere near hyperinflation or government collapse. The average citizen is more likely to benefit from recent stimulus packages than to lose out from it. It's not like everyone keeps their 401K invested in pure cash.
That said, we're overdue for interest rates to start creeping up. COVID is coming to an end quickly and the unemployment never really got out of control in the first place. People aren't going to go bankrupt if their mortgages go back to 4-5% instead of 2-3%