Absolutely correct. Being Jewish is a statement of religion, not race. He is correct that DNA can show area of origin, however, it can never show you the religion of those tested. The race associated with that part of the world is Semitic, which in modern day parlance would be all Arabs, Israelis, and any other indigenous desert dwellers in the Middle East. In other words, its impossible to trace DNA back to the twelve tribes since we have no idea what religion the original bearers of that DNA professed.
[FYI, my degree is in anthropology/archeology.]