That's weird.
Everyone I know who lives low-carb does LCHF (high fat)... everything slathered in butter and amazing flavoured fat bombs to add MORE fat to the diet!
I struggle to see how it would be possible to do LC low-fat, since most low-fat foods have added sugar or starch to replace the fat they remove.
Hence grass and horse-feed. With a chaser of water.
Apparently my liver has a bit of, not a lot, but some fat in it, and that needs to go away. So I'm dieting. And I have been cooking extensively "from scratch" and using spices and herbs to try to make things palatable. We do almost no refined flour, except in the form of a pre-packaged low-carb flatbread or no-carb brownies (as a treat), etc. We do almost no refined sugar, as there's a relative living with us who has diabetes. I'm currently on about 1,100 calories a day and pretty much took the doctor's head off when I heard that "lower your fat intake". My cholesterol levels were 212. In the past, when I've been not under stress and when I ~WAS~ living on cheeseburgers and pizza, my cholesterol levels were well down and without fail I was congratulated on what must be "my healthy diet choices." So they shunted me off to the nutritionist who said to put chia seeds and flax seeds in my oatmeal for breakfast every day.
I've been on low carb, minimal sugar, egg-whites-only, whole-wheat-horsefeed muffins for the better part of a year and it's 212 and I'm hearing that same d####d lecture on "eating properly" that is just irritating the heck out of me.
Someone's gonna get a basket of whole grain muffins thrown at them the next time I hear that!!!