I think you're wrong.
> The increased energy intake during the ultra-processed diet resulted from consuming greater quantities of carbohydrate (280 ± 54 kcal/day; p < 0.0001) and fat (230 ± 53 kcal/day; p = 0.0004), but not protein (2 ± 12 kcal/day; p = 0.85) (Figure 2B). The remarkable stability of absolute protein intake between the diets, along with the slight reduction in overall protein provided in the ultra-processed versus the unprocessed diet (14% versus 15.6% of calories, respectively) (Table 1), suggests that the protein leverage hypothesis could partially explain the increase in energy intake with the ultra-processed diet in an attempt to maintain a constant protein intake (Martı´nez Steele et al., 2018; Simpson and Raubenheimer, 2005).
https://www.cell.com/cell-metabolism/pdf/S1550-4131(19)30248...
Yes, they matched the meals, but the meals weren't made of homogenous goo. Participants could eat as much as they wanted of the parts they wanted.