As much as I love breakfast, I have to agree that breakfast research is in a sad state. Conflicts of interest and weak methods abound! In short: it’s probably OK to not eat breakfast, and I’d wager eating well is more important.
The bottom line is that the evidence for the importance of breakfast is something of a mess. If you’re hungry, eat it. But don’t feel bad if you’d rather skip it, and don’t listen to those who lecture you. Breakfast has no mystical powers.