Yeah, there are different diagrams for the Standard/Classic and Touring. Page 18.26 has two pictures. The one for the R3T calls the single module the 'Flasher Unit'. But after pulling it out, its a standard Hella relay. And the flasher works with it removed.
I really hate things that only happen some times. Its actually been happening almost since the bike was new. Now though at 20,000 miles its happening a lot more often. I'd say about 25% of the time when you hit the signals they don't work. Repeated stabbing at the switch and they will eventually start working again.