If a bank in these territories fail, the responsibility for handling the situation would primarily fall on the local authorities and regulators. They would be tasked with finding a solution, whether through restructuring, liquidation, or other means.
Unlike larger countries where the government may intervene to bail out failing banks, the UK government would not be obligated to step in and provide financial assistance to banks in Jersey or IoM. These Crown Dependencies are responsible for their own financial stability and crisis management.