Please answer a question about the following article about Ashkenazi Jews:

A 2010 study by Bray et al., using SNP microarray techniques and linkage analysis found that when assuming Druze and Palestinian Arab populations to represent the reference to world Jewry ancestor genome, between 35 to 55 percent of the modern Ashkenazi genome can possibly be of European origin, and that European "admixture is considerably higher than previous estimates by studies that used the Y chromosome" with this reference point. Assuming this reference point the linkage disequilibrium in the Ashkenazi Jewish population was interpreted as "matches signs of interbreeding or 'admixture' between Middle Eastern and European populations". On the Bray et al. tree, Ashkenazi Jews were found to be a genetically more divergent population than Russians, Orcadians, French, Basques, Italians, Sardinians and Tuscans. The study also observed that Ashkenazim are more diverse than their Middle Eastern relatives, which was counterintuitive because Ashkenazim are supposed to be a subset, not a superset, of their assumed geographical source population. Bray et al. therefore postulate that these results reflect not the population antiquity but a history of mixing between genetically distinct populations in Europe. However, it's possible that the relaxation of marriage prescription in the ancestors of Ashkenazim that drove their heterozygosity up, while the maintenance of the FBD rule in native Middle Easterners have been keeping their heterozygosity values in check. Ashkenazim distinctiveness as found in the Bray et al. study, therefore, may come from their ethnic endogamy (ethnic inbreeding), which allowed them to "mine" their ancestral gene pool in the context of relative reproductive isolation from European neighbors, and not from clan endogamy (clan inbreeding). Consequently, their higher diversity compared to Middle Easterners stems from the latter's marriage practices, not necessarily from the former's admixture with Europeans.

Were the Ashkenazim thought to be a subset or superset of their assumed geographical source population?
Ashkenazim are supposed to be a subset, not a superset