Low Fat Challenge?

The Ancestral Weight Loss Registry is running a contest.  Find an RCT where LF bests LC.  Here are the criteria.   The proceeds go to prizes and NuSI.

• Randomized Control Trial comparing a low fat, calorie restricted diet to a low carbohydrate diet, with or without a calorie limit.
• Statistically significantly greater reduction in weight and/or fat in the low fat group as compared to the low carb group
• Low fat diet must be similar in macronutrient composition to standard american diet encouraged by the USDA, ~50-60% carbohydrates, 20-25% fat, 20-25% protein
• Low carbohydrate diet group must be encouraged to limit their carbohydrate intake to < 100 grams of carbohydrates per day, with or without calorie restriction
• Sample size should contain no less than 15 subjects in the experimental group (or 15 total if it is a crossover design).

My challenge for which you will receive a lifetime weekly Cherry Pickin' Martini (virgin or $toli) in the Asylum Lounge (sorry no substitutions) is to identify what is wrong with this challenge.  I have several thoughts in mind.

Given that it is the "ancestral" weight loss registry, I wonder if peer review studies of ancestral cultures with no history of obesity or diabetes would be considered.  Oh ... like ... what the Pima really ate?  Naah ...