I spent quite a while trying to figure out how to do both Tritium Breeding and power production earlier today. Eventually, I decided to dedicate my old Nuclear Reactors to just Tritium Breeding. However, I noticed an odd interaction - the Tritium Breeder will function even if the reactor it's near isn't loaded with fuel or producing any heat. I understand that you can only work with the templates the game provides and there's no "fabricator which consumes heat" template, but it still seems like it should require that the reactor at least be turned on. Simply plopping those next to a defunct reactor and never loading fuel feels a bit like cheating.
Unless, of course, that was your intent? It just seems like Tritium Breeders are a good candidate for Nuclear Power once Fusion Power has supplanted it all but entirely.