The module in question is not just a resistor, but an electronic module which varies the voltage applied to the fan motor, and hence controls its speed. By bridging it out it is possible to ascertain that the fuse/supply is ok, and that the motor will also function (at full speed). If this works ok, it is sensible to replace the control module ("resistor") with a decent quality new one.
These modules are obviously under considerable electrical strain, and are prone to failure. Replacing with cheap pattern parts is probably not a good idea. Note that they are located with their cooling fins in the ducting airflow, for self-preservation, which gives a clue to their indifferent design. It will help extend their life if the cabin fan is not left switched to high (or high-ish) setting, so that they don't have to operate at high current delivery when suddenly switched on - which I suspect is approaching 25A on full fan speed.