You're missing the point.
You are stating that if one eats the "correct types" of food, one will lose weight.
Not true.
You can eat to many calories of the "correct types" of food and still gain weight.
The article discusses a man eating Twinkies, yet still lost weight. You're saying you eat fatty red meats, yet still lost weight.
The Twinkies guy, as well as you, have lost weight because you're in a calorie deficit, regardless of the "types" of food you're eating.
His point was that eating less carbs leads to eating less total calories (through suppression of appetite). He didn't claim that eating two different foods comprising the same # of calories lead to different amount of weight loss.
I consume a lot of fat and protein: two or three dozen eggs per week, fatty red meat for most dinners, olive oil-soaked salads for lunch, etc. This has led to significant weight loss, as well as a substantial energy boost. As this is (fairly) close to the diet that humans evolved to consume, it's not especially surprising that it works.