Saying 'I'm sorry but I don't think we're having the same conversation, ...' and then resetting context might be all it takes. It certainly would be less horrifically offensive haha.
They are about 50% nonsense.
But you could read about Big 5 personality traits, which are not nonsense being pushed for commercial reasons like MBTI.
From what I know of the Big 5, it's not very useful for explaining these kind of miscommunications. You can't explain people misunderstanding each other by saying that one is more agreeable and the other less agreeable, because the Big 5 doesn't say much of anything about why those people have those observed traits.
On the other hand, you can explain people misunderstanding each other using the MBTI by for example saying that one is Fe dominant, while the other is Te dominant, as this model posits distinct underlying cognitive processes which cause the person to literally perceive and interpret the world differently (especially in cases where the stimulus (or language) is ambiguous).
It's possible that there are some “just so” stories with no empirical basis you can build around the woo that is the MBTI dimensions that don't correlate well with validated personality measures and the unvalidated narratives constructed around both the coincidentally useful and totally invalid MBTI dimensions, but that's of equivalent value to “explanations” drawn from astrology or theory of humors.
You could also use the more general theory that people think differently to each other to explain this scenario. But such a theory is much less practical in terms of resolving the disputes, whereas the MBTI is excellent at this.
This link isn't ideal, but it's a decent considering it's concise and freely available on the internet https://personalityjunkie.com/functions-ni-ti-fi-si-ne-te-fe...