Don't agree with you there. What Lazaridis proved was that first Greeks were Mediterranean, rather than anything else. And that the modern Greeks and neighboring peoples were similar to them, but with some delusion of their genepool. That was the essense of the research. Like the rest of us, he didn't know exactly to what extent other people invaded Greece after the Bronze Age. But this was less relevant at that point of time. It's not that anyone expected modern Greeks to be pure Mycenaens. It's only later research which started to shed ligh into the Slavic admixture in the Balkans.
I postulated that Doric Greeks were somewhat different as well. But we still don't have sufficient evidence for that.
But we do. Not all Greeks are homogenous. The ones in the Aegean/eastern parts diverge.