To your question: All the studies are basically examining the principle that f.lux operates on. Shift colors away from blue and you can limit the decrease in melatonin production. I don't understand your question?
If you mean, "why has no one done a study on f.lux itself?", then I'm assuming no one has done a study on f.lux per se because (I'm just guessing here) no serious academic researcher really gives two shits about a piece of software on the internet.
However, that doesn't mean their research cannot be applied. F.lux is applied science, working on a fairly solid base of academic research. Real science with, yunno, quantifiable and statistically significant results. It isn't "fanboyism" or "science"...it is peer-reviewed literature.
The articles I linked specifically talk about how spectral blue light decreases melatonin production (a hormone directly related to how sleepy you feel at night) and a corresponding increase in alertness.
Doing a little extrapolation, if you decrease the amount of blue light that you are exposed to in the evening you decrease the impact on melatonin production and increased alertness.
So sure, I doubt anyone has stuck a person in front of f.lux and measured salivatory melatonin levels...but they have done the equivalent with blue and red lights. It isn't reaching to say that f.lux is doing exactly the same thing.