Basque maternal heritage & continuity

There's a new paper in AJHG which caught my eye, The Basque Paradigm: Genetic Evidence of a Maternal Continuity in the Franco-Cantabrian Region since Pre-Neolithic Times (ungated). The first thing you need to know about this paper is that it focuses on only the direct maternal lineage of Basques via the mtDNA. In some ways this is weak tea, since it doesn't give us a total genome estimate. But there are major upsides to mtDNA and Y. First, because of the lack of recombination it is relatively easy to generate a nice phylogenetic tree using a coalescent model. And second, for mtDNA the molecular clock is considered relatively reliable. In this specific paper they also expanded the scope of their analysis to the whole mtDNA sequence, instead of just the hypervariable region. Not only did they look at whole sequences, but they also had an enormous sample size. They sequenced over 400 mtDNA genomes from the Basque country and neighboring regions. Haplogroup H peaks in frequency among Basques, and drops off among their neighbors (Gascons, Spaniards, etc.). Because the Basque speak a non-Indo-European language they are usually presumed to be indigenous in relation to their neighbors (or at least more indigenous). Until recently there was a strong presupposition that the Basque were ideal representatives of the pre-Neolithic populations of Western Europe. One common method of analysis would be to use the Basque as a pre-Neolithic "reference," and simply estimate the impact of a Neolithic demographic wave of advance by using a eastern Mediterranean population as a second "reference" within an admixture framework. But more recent work has muddled the idea that the Basque are the descendants of Paleolithic Europeans. Finally, I suspect we'll also have to acknowledge complexity in demographic histories. To say that the Basque exhibit continuity with Mesolithic Iberians may not contradict a substantial Neolithic contribution. South Asians for example are one numerous modern group which exhibits sharply divergent affinities if you use Y chromosomes (West Eurasian) or mtDNA (not West Eurasian). Why? The details are prehistorical. The major takeaway from this paper is that the Basque mtDNA exhibit a pattern of demographic expansion ~4,000 years BP, and ~8,000 years BP. But I think it is important to look at the range of outcomes over their confidence intervals, so I've reproduced their second table below: