Is there a way to skip the courtroom scenes if its already been done once. I do love the idea and it was very fun going through it but if it doesn't affect the game from that point on (with choices made during the scene or what have you) then on subsequent playthroughs, can there be an option to skip?
There already is an option. During the three times you are asked to save the game (consider them as checkpoints), there will be a button at the bottom of the screen that says Skip Current Bout. That will allow you to skip through the scenes.
However, the court scenes after the third checkpoint involve the Main 6 (Leo, Jin, Joseph, Ridge, Koku and Runan). I recommend not skipping through that part, since dialogue vastly differs between the six dateables.