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The low carb group lost 6.2 kg of fat. That is a lot. I do wonder what happens if you look at insulin sensitivity when weight and fat mass remains mostly neutral. I do not know if there are studies done on that (in humans). I will have a look around.
As for the cholesterol, the study I linked was probably not a very good example - sorry. Saturated fat does raise cholesterol however - so unless you are on a vegan low carb diet, you will see it rise. (IF you keep your weight steady, weight loss almost always lowers cholesterol)
What exactly is your point, then?
"50% of the fat content in butter is saturated fat and 4% is trans fat."
https://www.heartfoundation.org.au/healthy-eating/food-and-n...
You are right in one point: If the only thing you eat is butter with your veggies then you do not have much of a problem in terms of a cardiovascular epidemic.
As for the dietary cholesterol itself, see here: http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.549...
"Serum cholesterol concentration is clearly increased by added dietary cholesterol but the magnitude of predicted change is modulated by baseline dietary cholesterol. The greatest response is expected when baseline dietary cholesterol is near zero, while little if any, measurable change would be expected once baseline dietary cholesterol was > 400-500 mg/d." (That is 2 eggs or 400 g beef etc.)
Studies show that you generally need a level of < 150 mg/dL to avoid heart disease. That's quite a bit below the average "normal" level. But today's average is NOT physiologically optimal.
I merely said that it works. People on a keto diet often say something along the lines of "Oh, keto is such a good diet. I lost 20 pounds with it". And I believe them. But that should not be the only measure of how good a diet is for you. Weight is important but not everything.
I assume using lots of Omega-6 oil would push the ratio to even more unhealthy levels than what a standard american diet has.
However, any amount of trans fat is dangerous. The body's enzymes can hardly remove any trans fat build up in the arteries.
Example: https://www.ncbi.nlm.nih.gov/pubmed/24703903
There's however tons of this. Most keto bloggers will try to tell you that increasing LDL-C is okay for different reasons (depending on who you read). That is however just not true. The link between LDL-C and heart disease is very strong and has been proven over decades.
"The problem comes from the inability to use it because the body isn't healthy. Polyunsaturated fats will produce bad byproducts when it breaks down and over time makes the body sick."
However you could be easily making all of this up or be using bad/unscientific sources. Could you show us the studies/articles that you are using to gain those insights?