I don't think there is conflicting facts, on the opposite there is quite a wide consensus on two points.
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a healthy diet, be it a healthy low carb with no more than 20gr of carb or a healthy low fat, no more than 20 gr of fat /day have equal value and healthy is the key word ; healthy being no added sugars, no refined grains and plenty of vegetables , then to this core you either opt for 20 gr of carb or 20 gr of fat, the results are equals. Some will lose on low carb, other will gain and the same applies to low fat, some will lose other will gain.
It is the healthy part that counts. Because a crappy diet , be it crappy low fat with processed food or a crappy low carb with the processed food are both equally bad. Christopher Gardner has proven it to death both on clinical intervention and clinical observation.
Of course if you compare a junky diet with either a healthy low carb or a healthy low fat, the healthy one will always win.
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No diet is right for everyone. Some , and there is no way to determine who just by lab or gene test, will do better on a low carb, other on a low fat. Independently from blood sugar or other markers. Your ancestry plays a role, your gut microbiome and other metabolic processes. One size doesn't fit all.
What is right for everyone is getting rid of processed, ultra-processed and other manipulated food items, with sweeteners and other other artificial additives. Because now we know that the gut bacteria are at the origin of the yo-yo effect, and if you alter your gut microbiome while dieting with high volume of vegetables, you will change the species and avoid the regain.
IF one counts obsessively the carbs or the fats, to be safe , one will opt for low-carb / low fat industrial products because they come with a label. One might respect the carb/fat target but completely damage the microbiome .
Any weightloss diet that is healthy - no added sugar, no refined grains, and I might add, no industrial oils, with plenty of vegetables - can be successful, no matter if low carb or low fat.
When it comes to looking at the science, anyone who sells a program, book, memberships, podcast, .... will present the science that echoes its business plan, and you have so many on every single camp, but each will always oppose their plan vs a crappy opposite plan.
So it is important to step away from " sellers" and look at uni professor who don't take one side.
"Perhaps the biggest takeaway from this study, Gardner said, is that the fundamental strategy for losing weight with either a low-fat or a low-carb approach is similar. Eat less sugar, less refined flour and as many vegetables as possible. Go for whole foods, whether that is a wheatberry salad or grass-fed beef. "
Each should follow the program that suits better their taste and instinct, but not something manufactured in a factory