Recently I am currently reading about keto diet and come across with this highly rated MCT oil.

Provided controlled context:
1. calorie is at maintenance, energy balance is zero (0)
2. calorie, macro, micro remain unchanged
3. physical activity remain unchanged
4. everything remain unchanged
5. replace fat source from normal cooking oil to MCT oil <-- this is the variable that changed

Since I do not have any experience with keto nor did it myself. So my question is, in weight loss/fat loss perspective, will the 5 change anything?
If yes, how?
If no, why?

My thought:
Because MCT is advertised to loss weight / burn fat and cost so much more compare to other good fat source (weight loss product often results good money), I don't deny other health benefits of MCT but I am very skeptical about the claim when comes to weight loss.

https://pubmed.ncbi.nlm.nih.gov/25636220/
I don't understand how MCT can result negative energy balance as energy cannot be created nor destroyed, unless consuming MCT makes one to practically eat lesser in a which eventually leads to caloric deficit. *edit (correlation)

I understand the law of calorie balance thus in my mind I am expecting the result will be:


any thoughts?