As we are talking about meal skipping then these are more appropriate.
The addition of a protein-rich breakfast and its effects on acute appetite control and food intake in ‘breakfast-skipping’ adolescents (H J Leidy and E M Racki, 2010)
The importance of all meals (L Engler, 2008)
The acute effects of meals on cognitive performance (CR Mahoney, 2005)
Eating meals irregularly: a novel environmental risk factor for the metabolic syndrome (J Sierra-Johnson, AL Undén, M Linestrand, 2008)
You can't just keep pulling research. you need to understand them
First one irrelevant or can be irrelevant. This research is statistical. some people react one way some don't. It also very much depends what you are eating throughout the day as well.
Eating meals irregularly: a novel environmental risk factor for the metabolic syndrome (J Sierra-Johnson, AL Undén, M Linestrand, 2008
found that high energy breakfast have highest congnitive results, while low calorie cognitive calories gave poor results. You going to get a dieter to
I'm on a primal "diet" around 1800 calories a day. Telling me skipping breakfast leads to increased calories? nope.
Breakfast led to increased satiety through increased fullness and PYY concentrations in 'breakfast skipping' adolescents. A breakfast rich in dietary protein provides additional benefits through reductions in appetite and energy intake. These findings suggest that the addition of a protein-rich breakfast might be an effective strategy to improve appetite control in young people.
The acute effects of meals on cognitive performance
you need to eat a high calorific breakfast to say proper results. it also reduces after eating lunch (could be time of day rather than food)
So yeah, just quoting research isn't helping you, when you don't read what it actually concludes.