Did you even read your own links? They are carefully preparing soil and planting saplings, not randomly scattering seeds. The exact opposite of what gp is suggesting. They are planting in an intentional manner exactly as I said.
None of that is strictly necessary. While it helps, it's not a requirement. Simply selecting the right seeds, maximizing cover/photosynthesis, and perhaps mowing at the appropriate time are usually sufficient, unless the soil is seriously degraded.
Fukuoka spent years working with people and organizations in Africa, India, Southeast Asia, Europe, and the United States, to prove that you could, indeed, grow food and regenerate forests with very little irrigation in the most desolate of places.