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Admixture calculators are exactly the same thing, they are based off fst, just like in studies. Plenty of studies even used the base K13 model for a while. They do weigh components to each others, that's actually the only thing they do, assessing each sample's common genetic drift with the others. The first thing you run for a sample is something like (Yoruba;x,Han) x being the population you test, see which is closer (shares more to be precise), then go further etc..
In the end you ll get something like this in f3 (lighter color: less shared genetic, redder: more shared genetic). Obviously WHG/SHG comes out as the the whitest component (the color in the histogram..) tested against Yoruba, as it is the most removed from Africans. Also not very Han like (E_Asia). If you lack WHG you are not going to cluster closer with genetically northern populations, it's that simple.
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