> because their assets are fine (just inconveniently structured)
If assets are so inconveniently structured that the bank fails, then the assets are not fine. A bond that pays 0.01% that never matures has an infinite value over infinite time. So while the FDIC/gov can solve the liquidity issue by replacing a $100 face value bond with $100 cash but that's still a net transfer of actual value from the FDIC i.e other banks.
As far as I know, regulatory requirements require/encourage holding good bonds but if the FDIC is going to start treating gov/muni bonds of any maturity length as good as cash, then there's less reason to hedge against interest rate risk.