I take the view that getting up in the morning takes energy.
This has to come from somewhere.
If you don't eat breakfast (like I didn't for decades), then you are teaching your body to find the energy from somewhere else (the liver).
I genuinely believe that skipping breakfast for all that time caused my dawn phenomenon and hair trigger liver dumps in the morning.
So yes, I recommend breakfast.
(I also find that within minutes of eating a low carb breakfast my blood glucose drops substantially. It is as though my body sighs in relief, and comes off emergency energy production)