Today, central banks acts as a final settlement later upon which the rest of the financial system is built (banks, credit, etc). This makes it impossible for the financial system to “shut off”.
In a Bitcoin world, the main ledger would act as a final settlement layer, and local lightning networks act as the layers on top providing payments, loans, and credit. All transactions would be batched and only get settled so often (once an hour, globally, for example).
This gives you similar local-affinity that today’s financial system offers without relying on governments to award permission to engage in commerce.