Objectivity is about putting yourself outside, judging based entirely on outcomes, right? Just as subjectivity is about putting yourself in the head of the person or thing, to see and take account of all that invisible stuff going on inside. I mean, it's right there in the English: subject versus object, 1st person perpective versus 3rd person view.
Okay, so objectivity is easy. Find an external metric, and rank the teams by that. Best external metric available in sport is wins and losses:
1. Bama - 9-0
2. FL - 8-1
3. A&M - 7-1
4. UGa - 6-2
5. Mizzou - 5-3
6. Auburn - 5-4
7. Ole Miss - 4-4
8. Kentucky - 4-6
9. LSU - 3-5
10. Arkansas - 3-6
11. Vols - 2-6 == Miss State 2-6 (tie)
13. USCe - 2-8
14. Vandy - 0-8
That's pretty much the ONLY order you can come up with, objectively, at this point in the 2020 season.
Now, if you wanted to broaden it out, you could go records over the past three years, or records for the past five years, or ten, or twenty, or whatever you wish. As you broaden the perspective, you gain continuity and long-term fidelity, but lose precision and immediacy. It's just a question of which you need more at the time.
But for now, that's the objective ranking. If you have anything different than that, you are letting subjectivity creep in.
For instance, OP you seem to overvalue LSU quite a bit. You're letting some subjectivity in. Understandable, since they are usually much better than this season, and were in fact the national champs just last year. Still, the record says they stink at about 9th of 14 level.
That's objectivity.
p.s. If A&M beats the Vols in a week as most of us expect they will, they'll go up on Florida, because they have the tie-breaker (head to head win) over the Gators. Other moves could happen as well once the rest of the season plays out.