The statement you're arguing against says nothing about having DNA from that ancestor, just about their existence as an ancestor. Instead, the article seems to

The statement you're arguing against says nothing about having DNA from that ancestor, just about their existence as an ancestor. Instead, the article seems to agree with you, saying: "Not everyone of European ancestry carries genes passed down by Charlemagne, however. Nor does every Jew carry genes from their Sephardic ancestors expelled from Spain. People are more closely related genealogically than genetically".