No one likes to be proven wrong. This is why publishing something is so hard—we’re afraid that someone will poke holes in our arguments, which leads us endlessly scrutinize our own ideas and prevents us attaching our name to them.
However, every statement can be falsified under right circumstances.
This is why trying to be right in everyone’s eyes is futile. With every edge case covered your message gets more brittle, thus making it harder to penetrate people’s existing beliefs.
Pick your position and stand by it. Frame your ideas in your own narrative to support them. And most important—accept that you’ll always be misunderstood by someone, because that’s a mandatory step in changing someone’s mind.