Do you really think that discovery would show that this was all in good faith?
I'd bet heavily that a lot of ideological discussions would be disclosed. As that is completely contradictory to what Twitter claims is their goal, bad faith would be the only remaining option.
Instead, it is easy to expect they would discuss the sincerity of Musk's offer (the chance that they may accept it only for it to be retracted, as happened with the board membership offer), the plausibility of him having the required financing, the stock price today vs 6 months ago compared to the offer, and similar business discussions.
I also don't personally believe this is an ideological battle at all - it's much more likely to be a financial manouever or simple ego-driven ambition by Musk.
Otherwise, the business judgement rule is applied, where the presumption is that the directors acted in good faith, and you would essentially have to prove that it is impossible for Twitter stock to grow beyond the current offer.