Also, I think you were intending to mention Gary Anderson, but you left the name out when you said, "Rather than describe its significance myself, I’ll let do so:"
Whoops. It's Gary's point, but the explanation comes from Peter L. Trudinger, The Psalms of the Tamid Service: A Liturgical Text from the Second Temple (Leiden: Brill, 2004), 36-37. (There's a .pdf available on Scribd, and I can email it to you if you'd like.)
That is the correct conclusion.
Also, I think you were intending to mention Gary Anderson, but you left the name out when you said, "Rather than describe its significance myself, I’ll let do so:"
Whoops. It's Gary's point, but the explanation comes from Peter L. Trudinger, The Psalms of the Tamid Service: A Liturgical Text from the Second Temple (Leiden: Brill, 2004), 36-37. (There's a .pdf available on Scribd, and I can email it to you if you'd like.)
Email, please. Thanks!