People use a simplified mental model of your beliefs. You're either on one side or the other. Your argument flips you around to the other side. This is a problem. My hope is that this problem can be countered by explicitly labeling points of agreement, and by being very specific about points of disagreement.
This is what my project HowTruthful facilitates. This article caught my attention because flat earth was the issue I used in https://www.youtube.com/watch?v=PXvU1h44jVw the introductory video. About 90 seconds in, I talk about how a presentation format that shows both agreement and disagreement helps preserve friendship.