I don't know if there are that many hard and fast rules along the lines of what you seek. There are so many variables.
Some flashlights COULD use rechargables, but the rechargables won't physically fit. This is the case in the Surefire L2, A2, and many of the Innova models.
Others require some modification. For example, all Surefire incandescents that use the P60 lamp assembly can use rechargable Pilas, but require the substitution of the Pila 3.7 volt lamp assembly. Also, there is a thread floating around right now on converting the Streamlight Stinger (already a rechargable) to use Pilas and extend the runtime.
As far as the Streamlight Junior Luxeon, I really don't have an answer for that. I know that it can use rechargables, since that's what I use in mine. Maybe Streamlight doesn't want to deal with any support issues arising from rechargable use. Maybe they would prefer that consumers buy a (much more expensive) light incorporating rechargable technology, such as a Strion. I don't really know.
I can give you this rule of thumb. Typically, the regulated LED lights are fine to use with rechargables, since the regulation circuitry can easily deal with the differences in voltage. NiMH are typically 1.2V, while Alkaline are typically 1.5 -- that's an oversimplification, since cell voltage sags under load, but it's a starting point. With the CR123-powered lights, it gets very complicated, so I hesitate to go much into that topic.
Folks here on CPF are very happy to provide information. If you are considering a specific light, and would like to know if you can use rechargables with it, just post in an appropriate forum. Odds are, you'll have your answer shortly.