Skipping breakfast is wrong, in any context.

The result of not eating anything for breakfast is that the body reduces consumption ("metabolism"); this is exactly what one wants to avoid in diets.

This can be tested very simply. Compare the time of the morning when you start feeling hunger between when you have a breakfast (even a relatively light one, which is what one would do in a weight-loss diet), and when you don't have it.

Most people will paradoxically feel hunger earlier when they have a breakfast compared to when they don't.

This is the major paradox of weight loss: eating less by itself is not necessarily more productive (diet-wise) than eating more.