It is said that those with two nails are of true Han descent. Are the descendants of the big locust tree real?

We have this kind of legend here. I am from northwest Hubei. When I was in high school, my teacher said that our area used to be a virgin forest with sparsely populated areas. Many refugees or Red Turbans often hid in it and started rebellions and the like. Happens frequently. Domestically, the wars at the end of the Yuan Dynasty caused the death of a large number of people and left much land barren. In order to develop and utilize land, increase food production, and restore national strength, Zhu Hongwu forcibly moved residents from densely populated areas of Shanxi to the inland to reclaim wasteland, including Hebei, Henan, Shandong, Anhui, Jiangsu, Hubei, Shaanxi, Gansu and other more than ten provinces. They were forced to relocate. The immigrants gathered under the big locust tree in Hongdong County, Shanxi Province, and were distributed to various places. Therefore, the big locust tree became a symbol of the hometown of Shanxi immigrants. There are also legends that in order to prevent immigrants from escaping halfway, everyone had their hands tied behind their backs and walked together one after another. They also had to cut the nails of their little toes to make them unable to run, so immigrants had their hands behind their backs. As a rule, the little toe nail also has two pieces.

Having two nails is just a sign of the descendants of immigrants and cannot be used to identify Han ancestry. Are the survivors of the local war still Han?