The modules regardless of their functions run very hot by design due to the fact they are basically a resistor to trick the TSSM or TSM. I prefer to use a bosch type relay and run the extra lights off that instead of through the module.
The additional think I don't like about the module setups is that the running lights are very bright in comparison to hard wired units and difficult to distinguish from the brake lights when following a bike that is running the module. I have a buddy that ran the module you describe and I didn't like to ride behind him because of this.
I added bullet lights from a deuce for visibility to the rear of my RK and wired them into the running and brake lights under the seat to function like the stock tail light being the rear light on mine was run through a relay , there was no problems with modules at all.
