The case here is not about admitting mistakes and showing humility. Admitting your mistake does not immediately mean that you get a free pass to go back to the way things were without any consequence. You made a mistake, something was done or said. There are consequences to that. Even if you admit your mistake, you have to act with the present facts.
Here, the consequences are very public, very clear. If the board wanted Altman back for example, they would have to give something in return. Altman has seemingly said he wants them gone. That is absolutely reasonable of him to ask that, and absolutely reasonable of the board to deny him that.