I'm not going to disagree with your statement, but I must say that we are not all the same when it comes to the way we metabolise fats.
I've recently had a urine test done (privately) which although showing my body is in ketosis and in theory should be burning fat, it also showed that my body is unable to metabolise fat properly and convert it into energy for the muscles to use, it's storing it as fat, therefore no weight loss for me. I never went with the LCHF thing, by choice, because my stomach didn't do high fat after so many years of low fat this that and the other (still can't stand full cream milk Yugh!!) but after my GP said I didn't eat enough and should try eating more, I started with proper yoghurt rather than the 0% stuff and proper cheese, even full cream to mix with the yoghurt. Net result, I gained weight, what a surprise.
I'm only mentioning this because if anyone finds that LCHF makes them gain weight, and I know there are loads just on this forum who have found the opposite, just bare in mind that we're not all the same. I've probably said this somewhere else on this forum but the weight thing and dieting isn't just about calories consumed and burned, it's much more complicated.
BTW, unrelated but as statins are a popular conversation, my urine test also showed that my body has very low levels of CoQ10. I wonder if that was because of taking statins for 17 years?