I disagree, and offer the world of 2026 as anecdotal evidence lol. Most of what you wrote implies that every person participates in arguments honestly, with full faith, and are both cognitively capable of, and actively willing to, receive, evaluate and ultimately accept the argument as a zero-sum "winner". In reality, illogical appeals to emotion tend to win the day.
This also kind of refuses to acknowledge that a lot of people simply don't feel the need to be right; some people move in silence, others just don't care for the friction, or need the accolades. Still others don't enjoy the company of self-righteous, unbending, argumentative people, or have wildly different perspectives on a topic due to life experiences that are unfathomable to the rest.
I believe that multiple things can often be right simultaneously, and it's exactly that kind of positive sum philosophy that drives the most argumentative and need-to-be-right people completely insane haha. Different strokes for different folks man.