I don’t know that I agree (surprise!) that fast pace is a goal. I kind of like the pondering pace of some authors because the make the scene real.
If a court scene element is critical but the court itself is insignificant to the to the plot then I guess I am in agreement. But if the trial is a focus point for the plat then the natural frustration of wading through the insignificant details makes it feel more real. It is like wading through the minutia of the court proceeding to get to the judgement.
Or maybe not. My taste in reading is questionable. Hence my ideas about writing are probably not to be trusted.
If you’re doing courtroom scenes, you may also be interested (your readers will be) in juryroom scenes. That’s where the decision is made, and though, for dramatic purposes, the courtroom flourish may seem to settle the affair, the final word is the jury’s. Agreeing on that word can be far more tedious than courtroom routines which are, at least in theory, subject to rules of procedure, with a judge to make final rulings.
In the juryroom, however, there can be anything from precise and rational order, quickly leading to a decision, to absolute chaos punctuated with oaths and threats and tears. (I’ve served on three: one was rational, one was chaotic, the third was mid-stream.) A good look at how to trim the fat from the process – without losing substance – is (for US trials) “Twelve Angry Men.”