I mostly agree with you, but I think that any habit can have a strong effect, so if you do have habitual healthy breakfasts it's probably just about as healthy as skipping. I like skipping btw, up until I was around 25yo I just ate whenever I felt hungry, then I did some casual fasting, now my hunger impulse has all but lost it's power and I like it like that, it feels more relaxed somehow.

Honestly I'm growing more and more to think that healthy food is subjective. Like if you're overweight yes calorie dence food is probably not that good for you. If you're underweight you need every calorie you can get. If you're working out all the time yet again you need every calorie you can get and have the ideal chemical compounds to fule mussel growth. Before the 2000s militarys were rejecting people because they were underweight. Now they are rejecting people left and right for being overweight. I'm starting to wonder if people in the 19th century considered calorie dence food healthy for being calorie dence.

Breakfast should be "light" like Havregrynsgröt or others, then a true dinner before noon so you get enough juice for the rest of the day. Personally against cooking for breakfast, so biased