I can verify that this phenomena occurs with me, quite reliably. Can'r speak for anyone else.
BG starts to head up every morning 3:30-4:00am. It seems utterly resistant to insulin -- well, not totally, but truckloads of the stuff are not able to "control" the elevated BG.
If I completely fast, I'll fight elevated BG all morning, until (surprise surprise!) I eat lunch.
If I have even a small breakfast (a banana, or a tiny Yopa Greek Yoghurt 17g carb, one egg and a piece of bacon, etc. you get the picture) BG starts to drop and I'm back in the 80's, under control, within 60-90 minutes.
My understanding is this has to do with hormone signaling by the gut to the liver, alerting that new fuel is coming on board. The liver then backs off it's glycogenolysis.
This works no matter what you eat. 0 carb high-protein high-fat (like bacon and eggs) works beautifully, and no bolus necessary...