However it does, simple feedback loop with adjustments proportional to minus weight difference (aka. are you gaining on weight? eat less.) should still work regardless of what you eat and what "types" of calories there are. It's not just calories-in / calories-out, it's a
feedback loop between your weight and amount of calories you eat, and that - as Jacques wrote - tends to disregard internal state and processes by the very definition of how it works.
The trick is, what I so far found out, to establish a set of meals that you can actually stick to for a longer time without feeling nauseous, while still maintaining calorie deficit. There are also issues like insulin reaction; so far I believe in this one, as hunger doesn't seem to feel as bad and doesn't disable my thinking since around the time I cut out sugars completely (I used to drink a lot of them). But accounting for all those things only helps you to stick with your diet.
So bottomline, I think that most of the other mechanisms people bring up are important not for weight loss per se, but for the ability to stick with a given diet for longer, while calorie deficit does it work.
FYI: I'm on keto for just over two months (with lot of cheating unfortunately - there were so many parties recently...) and have lost 10kg in that time.