Yes. Because accepting the possibility you are wrong does not mean that you do not act on your beliefs as if they are right. I somehow doubt that the suffragettes would have quickly come to the conclusion that their political subjugation was the correct answer merely by virtue of listening to the arguments. Especially because they had listened to arguments that women had no place in politics their entire life, and they didn't seem terribly convinced. Instead, they convinced everyone else.

So I don't really see your conundrum here as being of terrible concern to continued practical exercise of collective truth-seeking.