This was proven 13 years ago, but hasn't been denounced yet. It also proves it is high carbs that are the problem.

Lipids. 1995 Nov;30(11):969-76.Links
Low-fat diets do not lower plasma cholesterol levels in healthy men compared to high-fat diets with similar fatty acid composition at constant caloric intake.Nelson GJ, Schmidt PC, Kelley DS.
Western Human Nutrition Research Center, USDA, ARS, Presidio of San Francisco, California 94129, USA.

In most studies reporting the effects of high-fat (HF) and low-fat (LF) diets on human plasma fatty acids (FA) and lipoprotein levels, the design involved adding to the diet an oil that had an FA composition (FAC) very different from the FAC of the control diet. Thus, it is difficult to determine if simply reducing the fat content of the diet without changing the dietary FAC changes the tissue FAC or alters plasma lipid levels. In this study, we fed diets that contained either 22 or 39% of calories from fat, but had no differences in their FAC, for 50 d to a group (n = 11) of healthy men (20-35 y). Thus, the polyunsaturated/saturated ratios (1.0) of the diets were identical as were the n-3/n-6 ratio and the monounsaturated-to-total fat ratios. The diets contained (wt% of total fat) approximately 28% saturated FA, 33% monounsaturated cis-FA, 6% monounsaturated trans-FA, 22% n-6 polyunsaturated FA, and 7% n-3 polyunsaturated FA, and 4% other minor FA. The diets consisted of natural foods and were formulated to contain 16 en% protein, either 45 or 62 en% carbohydrate (CHO) and at least the recommended daily allowance for all micronutrients. Both diets contained 360 mg of cholesterol per day. All subjects were given the HF diet for 20 d, and then six were placed on the LF and the other five remained on the HF diet for 50 d. The two groups were crossed-over for the remaining 50 d of the study. The subjects' baseline total cholesterol level was 173 mg/dl, after 50 d on the HF diet it was 177 mg/dl and after 50 d on the LF diet, 173 mg/dl. The differences were not significant, and there were no significant changes in either the LDL or HDL cholesterol levels with either diet. Triglyceride levels, and consequently very low density lipoprotein levels, rose significantly on the LF, higher CHO diet compared to the levels found in the subjects on the HF diet (91.5 and 66.4 mg/dl respectively, P < 0.002). The linoleic acid content of the plasma, platelets, and red blood cells was significantly (P < 0.05) reduced in the LF diet compared to HF diet, without any obvious physiological effects. Hence, many earlier observations indicating reductions in plasma lipid levels when people are on LF diets may be due to changes in the FAC of the diet, not the reduction in fat calories.

PMID: 8569436 [PubMed - indexed for MEDLINE]

more interesting studies on same page: https://tinyurl.com/5kj2u4

My one slight concern with this is, the 360mg Cholesterol, is not stated, as either LDL, HDL or a combination of both, or at least not that I could make out anyway.

The 360 is the amount of milligrams of cholesterol consumed per day, not the blood values of the individual fractions of cholesterol. It simply shows a high cholesterol intake diet. The subsequent blood values of HDL and LDL are shown below that as mg/dl (milligrams per deciliter). Compare them for the values of each for the HF (High Fat) and LF (Low Fat) diet.

Edited due to realising something, which invalidated my response.