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On some furling systems (mine included) line is attached by going through a hole tangential to the drum center and then a knot on the end. It would be difficult to imagine this coming undone. Also, consider that force on the line is proportional to size of the leverage, and since furling drum radius is much smaller than length of the sail, force on the line is proportionately less. It may be a significant force nevertheless, but hardly beyond what even a basic line can handle.
However, furling can certainly fail in variety of ways - no doubt about that.