Interesting but they had no control.
If they used crossover design they should have all participants go through a second trial period where they consume the same diet but with light breakfast and more caloric lunch and dinner. Then they could actually have more insight on the main thesis of their study, i.e. whether bug breakfast alters appetite.
This study shows or proves absolutely nothing about advantages or disadvantages of big breakfast or that a big breakfast makes any difference whatsoever.
It only shows that if you are going to have a big breakfast as part of calorie limited diet if you choose a diet with high protein you will lose weight slightly faster but will have slightly worse gut health than if you chose a diet with high fructose.
Why not add a third high-fiber + high-protein group for example?
Soon we will have more participants in the HN comments for the study, than were studied in the study.