I understand the science of it, but I think it can vary from person to person. I did low carb a couple years ago and with my diet pepsi and morning coffee, was losing usually 3 or more pounds a week. ( I went from size 16 to a size 10 in a short amount of time) I drink oceans of water as well everyday, and it's usually just one coffee in the morning, one diet pepsi in the afternoon.
I don't smoke or drink, and this is my vice. I know personally, I can't or am not willing to give it up completely. I do drink a lot less than I used to, so that's something! And I did give up chocolate......
For me, caffeine gives me a needed energy kick to get on my treadmill and run. I don't find, personally, that it makes me hungry or stimulates my appetite.
I'm only on Induction right now and trying to break a plateau.
Just my own 2 cents......