But nuts and seeds are NOT "almost 100%" percent fat. They range from fat contents of 30g to upwards 70-75g per 100g (walnuts, for example, are on a higher end of this, so are hazelnuts. Almonds, pistachio are the middle ground, while peanuts - technically legume, I know -are on the lower side.
The rest? 8-10 percent carbs, 10g+ fiber (some contain less, some much more), and anything between 10 to 30% protein (highest ones, again are almonds and peanuts, and sesame seeds).
This is very easy to verify, you just need to do a quick googling. I do not know why anyone would clame this. Some of your other claims are going to be harder to look up, so I would like some citations, like the ones with olive oils STICKING TO YOUR ABDOMEN :P