I wasn't referring to the RESISTOR not having more resistance (obviously an open has more resistance than a short.)
I meant more total resistance in the circuit. The schematic would reveal that when in high-speed mode, the circuit does not include the blower resistor. Any other speed setting includes the resistor in the circuit.
If you have a shorted resistor (yes, it happens, though RARELY occurs...) and the only path is through said resistor, then the circuit would not be designed to handle that much voltage at the blower itself (some was normally "absorbed" or dropped across the now-bad resistor. This extra voltage at the blower may exceed the blowers ratings, and would blow the fuse.
Ray