Both red wires (solid red, not striped with white or black) at the switch should have power all the time, even when the switch is off. The red wire that comes from the 30A fuse at the starter relay goes to the ignition switch. Somewhere in the wiring harness (probably quite close to the ignition switch), a second red wire is spliced to the first one, and then the two of them go to the ignition switch to power everything else. If one red wire has power and the other doesn't, there is a break in the unpowered wire somewhere, which is the cause of your problem.
Look at the appropriate S1 diagram
here, either the Std/Tourer one or the Interstate one depending on what you have, to see what I mean.