I believe you’re right, it’s not great to assume this beforehand. Many things are negotiable, but there are a whole lot of things that aren’t.
When you’re faced with convincing someone of $TruthA or $FactA and one of those two collides with a persons worldview, makes them uncomfortable, or causes them pain. Sometimes that truth or fact will be thrown out because of its ramifications.
For example, if we’re in Iowa, and you prove to me that plastic straws don’t kill turtles.. but as a kid my first trip to the ocean resulted in seeing a dead turtle die to a straw. It’s going to be very difficult for me to believe otherwise.
My statement about a person not accepting something because they won’t want too… is less about them.. and more about the person trying to argue/explain/etc.
It’s important to identify when a topic won’t be accepted by an individual and to move on. It’s something I’ve struggled with in life. If you don’t identify it, you can risk overstaying your welcome. Which can lead to losing a trusted advisor status. It’s far better to keep the trusted advisor status and tackle the issue another time.