Why do you think the FDIC insurance limit is $250k instead of $250mm, or infinite?
I also think that similar to "FDIC insured" labels in bank branches, FDIC should require posting "13% of deposits are FDIC insured" to help assess risk for those clients that have uninsured funds.
Why is the government involved beyond that limit in this case? Could it be they want to give the average person peace of mind while retaining the flexibility to handle a restructuring however they deem best?