Incorrect on many levels. One being, low/carb/high fat is not more effective for weight loss when calories and/or protein are equated between the groups.
When fair conditions are provided for the low fat and high fat groups, there's no difference in weight loss. The recent meta-analysis actually found greater body fat loss in favor of the lower fat diets (https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5568065/ ).
The difference is very small though which is why the question should not be "which diet is better?" but rather "which diet honors my personal preference and that I can stick to long term?"
The rest of what you said is also incorrect.