It's a very healthy thing to do. Most folks eat an unhealthy breakfast when they do eat one. Eating a good breakfast is helpful in kickstarting the metabolism for the day.
Debunked reasoning: You still eat X calories per day, you still use Y calories per day, storing or using fat depending (mostly) on the difference between X and Y. The relative timing of consumption and use have a demonstrably negligible effect.
I would encourage you to read further on nutrition, particularly in books like Grossman and Kurzweil's books (Fantastic Voyage and Transcend), as well as Tim Ferriss's 4Hr body (which discusses a case of someone losing weight by changing the timing of their food consumption).
Not all calories are equal.
Starting off the day with a good breakfast can jumpstart the metabolism.
I agree that the timing of meals probably doesn't affect weight much. I do not hope to gain or lose weight by making this change; I've modified my behavior (not my diet) in order to improve my lifestyle (not my health).