The study's based on field data, and looks valid. That said, I do agree that the idea of a linear progression of development starting at a relatively recent time in perhaps a single place it outmoded. Settegast cited an uncalibrated RC date of 14K years BP for a specimen of multirow barley. It was dug up in the northern Levant if memory serves, so, ballpark of those prehistoric sites you mention. Corn domestication and cultivation goes back to at least 5000 BC in central Mexico. Agriculture probably came and went many times in many places.
I feel certain that the huge monument of Göbekli Tepe {@ 9500 BCE} was not built by hunter-gatherers over many centuries. Such a complex project based on specific myths, religious rituals, cooperative civilization(s) - supposedly without any writing - raises an ocean of questions that should be answered.
It is more logical to believe that there were shared divisions of necessary skills (religious authority, survey, design, stone gathering, stone carving, excavation {and subsequent burying}, food and water supplied ... supplied by specialists - on and on.)
Who conceptualized the pattern(s) and supervised their proper execution; who organized the whole extensive effort and supervised its successful fruition...?
Like the Clovis Barrier and its disciplines, Göbekli Tepe is ripe for evolving ideas of clarifying solutions. 🤷♂️