Yes, if you look at just one genetic locus at a time, there appears to be more genetic variation within races than between them. However, if you look at multiple loci at a time, the accuracy of racial classification approaches 100%. That’s how genetic ancestry companies are so accurately able to bucket people into broad races.
In 2018, repeating this particular fallacy amounts to deception. It’s a an obvious mistake no one would make in any other statistical context.
The quoted paragraph does not support the notion that “a black African can very well be much more related to a white European than to another black African”. It just doesn’t.
And even if it did, it wouldn’t support the notion that white Europeans are more related to black Africans than to each other.
It seems like certain progressive-minded people can never define race (“Ugh, what does white even mean, anyway?”) until it comes time to give resources to black people (“Ugh, why are 75% of employees at this company white?”).