>>76548728
it took me a while to find the detailed breakdown of this study, they kept track of the calories each group ate per day and the low carb group ate on average 1400 calories, they also ate less calories than the low fat group.

this is far from "unlimited calories" like you said.

https://www.acpjournals.org/doi/10.7326/0003-4819-140-10-200405180-00006