> "Consuming fewer calories than you burn is the only way to lose weight."
You need to look at what is driving the calories consumption/burning.
Suppose I have a problem with my sink and call a plumber. He looks at it for a few minutes and then says: "Sir, your sink is overflowing because more water got in than got out." No shit, I knew that. That doesn't tell me anything useful. I want to know if drain is clogged, or if someone opened a fire hose in it.
The question to ask is 'why'. Why am I overeating?
Think about it:
You don't see a deer spontaneously explode because there was too much food around it. When it's full, it stops eating.
What you eat influences how your calories are partitioned; what your body does with them.
If I inject you growth hormones, part of the calories you ingest will be used to make you taller. You'll be hungry because your body is growing.
Similarly, if I inject you an extra dose of insulin, you won't be able to just "exercise it away". The insulin will prevent you from accessing the energy in your fat cells (while accumulating more). And because the body sees less energy 'available', it will shut down excessive energy expenditure while sending you a big hunger signal.
> "(and thus enabling you to consume fewer calories by consuming less calorically dense food)"
I don't know why you shifted from total energy consumption to the energy density, but that's just wrong. You can eat fat and still lose weight.