Does the Safe-Haven Reserve Status Override Trade Balance Deficits During Crises?

Why does the US Dollar surge in value during global financial panics even when the US economy is the origin of the crisis and carries massive trade deficits? Economic fundamentals teach that chronic fiscal deficits and trade imbalances weaken a national currency over time. However, global demand for USD liquidity during market stress forces central banks and foreign corporations to scramble for dollar reserves regardless of underlying US economic health. Does safe-haven capital flow completely invalidate standard country-level fundamental metrics during market panics?