Hang on.Not if they lose the argument, according to the example I read. You lose the battle of wits, your choice to go against the winner's wishes is curtailed.
Upthread, you posted the Gimli could choose. And so, in BW, a player can choose.
Obviously, it's possible that someone (say, Legolas) might remonstrate with Gimli, and try to persuade him to refrain from acting on his preference. That can happen in BW too.