No it's not, it's about eating things that more easily signal to your body that you are full and learning to hear that signal, and in turn eating at a calorie deficit.
LOL. This couldn't be further from what a Keto diet is trying to do. Quindraco nailed it. The Keto diet is meant kick your body into cannabilising its own fat stores for energy rather than use the energy from the food you're eating.
If you want to see it in action, watch the series The Human Body EP 1. They chronicle someone who swam the English Channel. It took 14h and he lost about 20 lbs. doing it. The show speaks about the process, but basically, that is Keto.
Did you know when your body gets too hot you thermoregulate to bring it back down to a normal temperature? It's what separates us from reptiles.
A fever is when your immune system tells your body NOT to do that so you can better kill off pathogens. Besides, the 50-150 cal burned by ketosis would raise your body temperature by an absolutely negligible amount, drinking a cup of tea would have a more noticeable impact on skin temp
What separates us from the reptiles is that we can get our body temperature UP by burning calories. If you run hot, you can only passively cool down by sweating lots or walking around naked, I guess. If you aren't sweating lots, you aren't losing significant excess heat. But the actual point of the OP is that many people who are even only 40 lb overweight already eat in excess of 150 kcal, never mind 50. If this is how ketosis works, they wouldn't run super hot, but they would also never get to a normal weight. Also, you can achieve the same effect by exercising or even just drinking cold water. Think about how many people got thin by doing this.
BTW, when you drink tea etc, your body reduces heat production to compensate.
I mean it's a mechanical process that if left too long, will even strip the essential fats off your internal organs, so yeah, it's not for Suzy who like knows nothing about like exercise but wants to look wicked skinny for TikTok, yo!