Jared Diamond's theory

Is Jared Diamond's Theory correct? I believe Jared Diamond's theory is correct because it is known that    throughout the Pathological Age all human beings lived as migratory hunters, fishers, and gatherers and later began to develop further based on the resources in their land. Later in the Neolithic age, the people began to settle in fertile areas and domesticate plants and animals. Based on where they were located, like the fertile crescent, some civilizations flourished while others continued to hunt and do hard labor without the help of animals or machinery. Animals were a major factor of revolution and determining whether an area is "geographically lucky" or not. Certain areas such as Papua New Guinea, which I learned about last semester were not lucky in this way because they had no local animals to domesticate and use for labor. Other areas like Spain for example had llamas to help with work making the lucky. Once civilizations began to develop better technologies they could do jobs faster and more efficiently. Once they spent less time on worrying about food they could organize workforces. Organized workforces made it easier to develop tools because people could do what they were best at and learn about developing products with steel.