I find that “misunderstanding” describes the difficulties in the process of actually trying to communicate better than “disagreement”. “Disagreement” is not so much a failure mode, as a way in which to focus on the questions that you need to form better mutual understanding about. So you abort a line of conversation not because of disagreement, but because of misunderstanding, while disagreement refocuses the conversation.
I find that “misunderstanding” describes the difficulties in the process of actually trying to communicate better than “disagreement”. “Disagreement” is not so much a failure mode, as a way in which to focus on the questions that you need to form better mutual understanding about. So you abort a line of conversation not because of disagreement, but because of misunderstanding, while disagreement refocuses the conversation.