I think the judge will rule on the bench, I know it's a long shot but I had a case once in the appellate court where they ruled on my case from the bench and then submitted there opinion.
The judge can do that as well as she can go by all that was given to her at the confirmation hearing and the written arguments. She may already have her mind made up which I think imo she does.
My educated guess is that most of her opinion (~ 95%), has already been drafted.
She's already telegraphed the world that she retains written arguments better than oral ones.
Anybody who doesn't think that she has already (for the most part), made up her mind, is delusional.
And, if after reading the TPS and the EC Post-Hearing Briefs, she cannot see the fraud and deception in the POR and GSA, well, there ain't no amount of talking (not even from God himself), that will get her to change her mind.