I read a study some years ago where they compared two groups of people either skipping breakfast or skipping dinner and found that the group skipping the breakfast had higher inflammation levels. The actual cause was unknown.
I also read that when skipping breakfast your metabolism kind of stays in sleep mode (burning less calories) until the first meal.
So not skipping breakfast might be the healthier, more effective protocol.
Unfortunately I cannot provide the sources right now, but I guess a web search will help the interested.