What a patently absurd claim. Your anecdata is not evidence.
If your usual breakfast is pretty big and you tried to switch then you'd definitely start to get pangs of hunger earlier than you usually would. But after a while, your body would adjust and you'd be fine for longer and longer (really until whenever you usually ate your next meal). It's the reason why intermittent fasting or "one-meal-a-day" sucks the first couple of weeks you try it.
I'm not recommending one way or the other. Personally, I wouldn't eat just 2 eggs for breakfast because it sounds like a boring breakfast (at least throw it on some toast with some hot sauce). But it's certainly plausible that 2 eggs for breakfast would satiate most folks after they got through the initial growing pains.
When I go out for breakfast I will often have two eggs...and a couple of big pieces of toast, mushrooms, hash browns, spinach etc. I have great difficulty believing that two eggs alone would be sufficient.
Fast forward to today and while I would agree that just two eggs would be boring, add in two slices of bacon to cook the eggs in as well as some nice cheese, scramble it all and there's the lunch I'll have after not having had any breakfast at all and having had that, I probably won't be hungry again until way past previous dinner times.
This is after getting my gut back in order, away from craving sugary meal after sugary meal after carb/sugary meal to not having more than 20g of carbs per day (i.e. what they call "Keto diet"). I totally eat carbs again nowadays but usually eat no breakfast and eat way less carbs than I used to. One thing I noticed is that having a "low fat meal" for breakfast (e.g. white toast w/ just jam) means I am usually hungry again before lunch already. What helped on Keto was basically just eating whenever I was "hungry" but just not eating anything with carbs. I used cheese for it. Whenever I "got an appetite", eat some slices of cheese. No counting of calories. Feel "hungry"? Eat cheese! Lost lots of weight after a short period of time on that. The cravings just went away. It's amazing how little calories you actually get from all that fat and protein but it fills you right up. Of course this only works well if you have some fat to burn (my totally non-scientific reasoning is that your body just figures out that it doesn't have to make you find food and can just use the stores. Which means you better have those fat stores on you and please do make sure to eat enough veggies and nuts for your vitamins and minerals - you get the 20g of carbs just incidentally from the veggies, so definitely nothing with flour will go in you) I don't do Keto any longer and I can now maintain weight instead of loosing it :)
I pretty much never get hungry.
I eat because I’d die and I can only enjoy food having consumed massive doses of thc.
I wish Soylent was more trustworthy or the jetsons pill was real.
It means I can lose weight very easily but combined with severe adhd before I was married I was often in trouble and hospitalized a couple times. Now my wife keeps an eye on me to make sure I eat at least dinner, and Apple Watch reminds me to eat and drink during the work day.
Largely: Salads and roasted veggies like sweet potatoes, broccoli, radishes, carrots, squash. Fruits like apples, grapes, blueberries, strawberries.
The low calorie density foods helped make it so I really wasn't hungry.
For example, I've done the fast mimicking diet twice in the past couple of months - a little bit ineptly at points (always plan properly!) - which left me feeling very hungry. Certainly, by the last day of each, I was planning what I'd eat the next day in great detail and anticipation.
The lasting feeling it left (aside from the obvious health benefits) was to be reminded of what real hunger is like, not the semi-boredom, semi-distracting-itch kind that makes me nip to the fridge for a snack. That is very tolerable to me now.
The big breakfast is called a farmers mreakfat for a reason.