Apparently, according to my doctor, the problem has been with not chewing enough. Now that I have graduated from "soft" food, to food with more substance, I have to focus more on my chewing the food thoroughly. Otherwise, my tummy gets overwhelmed and sets a signal to stop eating so it can cope with the bigger bites, before the pouch actually gets full. So I stop eating, but the pouch is not full, and I feel hungry again right away.
This makes a lot of sense, and I've been much more satiated for a longer period of time now that I'm back to the 30 chews rule
GreenTealael, you were absolutely right on the money!