And their 2% version has 17g of protein: http://www.chobani.com/products/c/lowfat
I imagine the difference is only because the fat displaces some of the protein in the low fat version, not because there is some special "high protein" quality to the nonfat.
I continue to be baffled by Americans' obsession with nonfat products, when nearly all current nutritional research says there is nothing wrong with fat, and that in many cases it's good for you.
I don't know if I'm right or wrong, but it would be interesting to see a comparison of both caloric density and volume of average meals divided by culture, region, etc.
It's not working...
I love plain full-fat yogurt (ex: Fage total or brown cow cream top). Unfortunately non-fat yogurt tastes terrible once you've had the good stuff and is all you can find outside of specialty stores. (I have only ever seen/tried Chobani 0% so I can't rate their 2% fat yogurt)
Anyway, after years of never finding the good stuff I gave up on the system and dropped $30 on a yogurt maker on Amazon. Now Yogurt is $1/half gallon (price of milk) - 2-3 times that price for strained/Greek yogurt since you throw out the whey, it's super-easy to make (pasteurize milk, add culture, let it incubate for 6-12 hrs), and it's always just the way I like it.
By the way you don't even need a crockpot, just heat the milk, put in the yogurt then keep it warm for 7+ hours (google it for a more detailed recipe).
Fat happens to be the most calorie dense of the required macronutrients, however. At 9 calories a gram versus 4 calories for carbs and protien it's the easy culprit for people trying to cut weight (by reducing calories). For a while it became the diet fad because of its supposed links to heart disease as well. People want a silver bullet to get thin, once it was fat, then carbs and now, probably more sensibly, it's processed foods like HFCS.
In the end it's not that hard: Eat less.