Topsoil is what we call the upper "living" aerobic portion of soil. It is the portion of soil that participates in nutrient cycling. Roots into subsoil turn it into top soil over time. Tilling kills topsoil. So, its not that all the dirt flew away. Some did, but mostly it just died and turned back into subsoil.
Also reminds me of Zai holes or crescent-dikes for rainwater harvesting and planting. Apparently it's a technique being used to limit and reforest the encroachment of the Sahara. https://en.wikipedia.org/wiki/Za%C3%AF
This rotation allows the soil to regain its fertility without the grasslands becoming completely denuded.
That is to say: Rotational grazing is very beneficial. Grazing only becomes problematic when rotation is severely restricted.