Sure but they cover those aspects too. It may in fact be due to eating more processed food but only as a function of that introducing more contaminants into your body.
I read the whole thing but I disagree with their conclusions re: processed foods. I'm more inclined to believe that processed foods promote overeating and override satiety cues in a way that adds up over time, as found in this very interesting study (check out the appendix with photos of all the meals, it's fun). https://pubmed.ncbi.nlm.nih.gov/31105044/
But you can account for this by equalizing caloric intake per day. It's an easy effect to deal with. I think much of their article is arguing directly against the idea that we just eat more calories.