I would bet that no such ideological grounds would be found in discovery, even if it were true, unless the board are complete morons to discuss such things over email.

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.