In some cases you are correct while in some you're making the same types of errors seen in science reporting.

* [0] Completely agree. This falls into folklore: was never really scientifically investigated, and all recent findings don't support it.

* [2] This is a single study on a very particular mechanism. The null hypothesis wasn't "Carbs aren't evil". The experimental setup was designed to determine if there was a benefit in LCHFD diets for NZO prediabetic obese mice eating ad-libitum compared to traditional rodent feed (which by no means mirrors the type of high carb diet humans eat). They failed to demonstrate that. Some carbs are probably evil. Like sugar.

* [3] This is how science works: You make an observation: "You regain more weight after a fast diet." Yet a controlled laboratory environment doesn't show the same result. You're missing something. Reality is almost always more complex and subtle than we'd like it to be. The medical field right now is starting to focus on lifestyle changes and lifelong treatment. The shred of truth here is that slow weight loss is probably associated with creating long term habits. https://www.medweight.ca/.