In your attachment you write:
Also, if the documentary theory were correct the Samaritan Torah would have Elohim in it more than YHWH. This is because the Samaritan version of the Torah and their culture is derived from the descendants of the “Northern tribes” who separated from the Kingdom of Yehudah (Judah) and formed the Kingdom of Yisrael. ...
That strikes me as a very weak claim. So, for example ...
In his
Textual Criticism of the Hebrew Bible, Emanuel Tov writes:
Against the testimony of both the Samaritan community and the Jews, most scholars ascribe the origin of the community to a much later time. According to one view, based on the book of Ezra, the Samaritans are people of Samaria (the Northern Kingdom) who separated from the people of Judah (the Judaites) in the Persian period (see esp. Ezra 4:1-5). Others, on the basis of Josephus, Antiquities, XI, 340-345, ascribe the origin of the community as well as the building of the temple in Sechem to the period of Alexander the Great. According to Purvis, the Samaritans separated from their Jewish brethren after the destruction of their Temple by John Hyrcanus in 128 BCE. The paleographical evidence mentioned above also points to this late date. Coggins is another scholar who supports a late date.
Similarly,
Wikipedia:: Samaritan Pentateuch: Scholarly perspective notes:
Modern scholarship connects the formation of the Samaritan community with events which followed the
Babylonian captivity. One view is that the Samaritans are the people of the
Kingdom of Israel who separated from the
Kingdom of Judah. Another view is that the event happened somewhere around 432 BCE, when Manasseh, the son-in-law of Sanballat, went off to found a community in Samaria, as related in Nehemiah 13:28 and Josephus. Josephus himself, however, dates this event and the building of the temple at Shechem to the time of
Alexander the Great. Others believe that the real schism between the peoples did not take place until
Hasmonean times when the Gerizim temple was destroyed in 128 BCE by
John Hyrcanus. The script of the Samaritan Pentateuch, its close connections at many points with the Septuagint, and its even closer agreements with the present Hebrew text, all suggest a date about 122 BCE.
Excavation work undertaken since 1982 by Yitzhak Magen has firmly dated the temple structures on Gerizim to the middle of the 5th century BCE, built by
Sanballat the Horonite, a contemporary of Ezra and Nehemiah, who lived more than one hundred years before the Sanballat that is mentioned by Josephus.
The adoption of the Pentateuch as the sacred text of the Samaritans before their final schism with the Palestinian Jewish community provides evidence that it was already widely accepted as a canonical authority in that region. [emphasis added - JS]
If this product of the Documentary Hypothesis had been accepted as canonical prior to the formation of the Samaritan community, why should the similarities between the SP and MT be view as evidence against the Documentary Hypothesis?