Whoever that theorist is — I like sushi
It's not a theory I accept or find of much use.
The process of getting from wild plants that bore edible seeds (like the various grasses)--corn, wheat, rye, oats, rice, sorghum, millet, etc.; all the new-world foods--tomatoes, potatoes, peppers, and tobacco (all nightshade family plants); kidney and lima beans; cacao; peanuts, and all the plants developed in Europe, Asia, and Africa, ALL required a lot of long, careful, insightful attention. Some foods grew on trees ready to eat (nuts), but most had to be bred up from what must have been rather unpromising plants. Hunter-gatherers, requiring skilled observation to survive, likely knew about these plants before they started to domesticate them.
Settling down required some level of agriculture, and some level of agriculture required stability. No body switched from a breakfast of venison with wild nuts and berries to oatmeal, yoghurt, and toast overnight. More like centuries or millennia were required to learn how to grow plentiful grain, mill it, and make bread and beer.
How they accomplished all this is just not known. And what all they did while they were developing domesticated crops isn't known either.
The first iteration of Jericho was built around 11,000 years ago. Is that the beginning of settled life? Almost certainly not. Before we built with stone, we built with wood, material which rots away under ordinary circumstances. Stone tools were poor for making planks out of a big tree, but smaller trees and branches could be harvested for simpler construction.
My guess is that they hunted, gathered, built shelter, and cultivated--gradually shifting away from the former and toward the latter. All of this required community -- cooperation -- along with preserving memories, methods, and material culture. Eventually they arrived at a stage where they could grow the food they needed, and began other agricultural / material cultural tasks, depending on their location.