Looks like this is the relevant study from that video. It found people eat more calories of highly processed food when given the option, which makes sense. Weight gain was highly correlated with calorie intake though, so if you eat the same amount of calories of highly processed and unprocessed food, it should have the same weight gain.
The harsh reality of ultra processed food - with Chris Van Tulleken
not a study but an informative RI lecture
Looks like this is the relevant study from that video. It found people eat more calories of highly processed food when given the option, which makes sense. Weight gain was highly correlated with calorie intake though, so if you eat the same amount of calories of highly processed and unprocessed food, it should have the same weight gain.
https://pubmed.ncbi.nlm.nih.gov/31105044/