Aha, that's the part I was missing. I didn't realize that the TCPro was actively illuminated like that. On re-reading the NaturalPoint page about it, I see now that it says "USB power tap", but that didn't register with me previously, as there is no cord in any of their pictures.
I guess then I'll stick with the stock clip for now; I haven't had any problem with stray light reflections, but now I know what to do if I get them at some point. :thumbup: