I can tell when there is a pattern of someone repeating the same falsehoods despite correction. I cannot know what their motivation truly is but I can apply Occam's razor for a shrewd guess.
You may have just not convinced the person that your believed truth trumps their believed truth.
It requires communication, which pretty much never involves assuming a question is bad. If it's reiterated, then respond with your same point in more detail and ask for a response to that.