There is a big difference between burning fat and losing fat and unfortunately, the two are not often differentiated correctly.
When it comes to losing fat, the research is pretty rock solid on the need for a caloric deficit. You technically could eat only carbs and still lose fat. In fact, there was a study showing two groups that were both in a caloric deficit. One group ate a lot more sugar than the other group and fat loss was still pretty even amongst the two groups.
However, there are some potential benefits to being able to burn more fat (using fat as a resource). So, studies have been done to better understand how we can shift towards more fat burning as a fuel. But remember, if we are burning more fat, where do you think the carbs go to?
They too can get stored and converted into fat. So yes, we can shift our fuel sources from burning more carbs versus fat, but this does not mean you will lose more fat. Weight loss is extremely dependent on a caloric deficit. Yes, there might be some other small contributing factors, but if you are trying to lose weight, count your calories.
You must be in a caloric deficit to lose fat, there’s really no way around it.