I think it's interesting that he keeps harping on the fact that CBS and Paramount are shutting him down because Axanar is too good/too professional/too high quality.
Benefit of the doubt let's say that's true. Seriously, let's just play devil's advocate and give in to that statement: let's assume that CBS and Paramount truly just don't like that Axanar is so good and of professional quality.
First, that's a perfectly valid and understandable reason to want to shut someone down. He even admits, and is correct when he says that, other fan productions would never be confused for the real thing-- implying that his would.
Right there, acknowledgement of "brand confusion" would support the plaintiff's argument and (I'd think) sway a judge to not only rule in CBS' favor, but come down hard on Axanar: because these acknowledgements suggest this wasn't an honest mistake, but premeditated. They prove he knew what he was doing, and indicate pretty strongly that he'd know they might object.
Because the one of the primary purposes of copyright law is to protect brand confusion and dilution.
Why does he think that will help him in court? Does he really think the judge is going to turn to him and say "well, you're right, and you know what, CBS? That's not fair. Screw established rule of law, i'm going to let this man make his movie because it's going to be awesome!"